4. Solve the system of equations. (6 points)
2x-3y - 21
-6x+2y = 7
Part I: Explain the steps you would take to solve the system by eliminating the x-terms. (1 point)
Part II: Explain the steps you would take to solve the system by eliminating the y-terms. (2
points)
Part III: Choose either of the methods described in parts I or II to solve the system of equations.
Write your answer as an ordered pair. Show your work. (3 points)

Answers

Answer 1
1) If the first equation is 2x-3y=21, To eliminate the x-terms, I would multiply the first equation by -3. To make -6x+9y+63.

Then, I would subtract the second row from the first row to make 7y=-70

Next, divide both sides by 7 to solve for y. y = -10.

2) To eliminate the y-terms, I would multiply the first equation by 2 and the second equation by -3. It will make 4x-6y=42 and 18x-6y=-21.

Now, subtract the two equations to make -14x=63.

Lastly, divide both sides of the equation by -14 to find x. x = -9/2

3) The answer as an ordered pair is (-9/2, -10).

Have a wonderful day✨❤️

Related Questions

Slope From Graph.. Help

Answers

slope is 3

Step-by-step explanation:

y2-y1/x2-x1

so 3-0/-1--2 or 3-0/-1+2

Please help pass my final :(

Answers

Answer:

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Step-by-step explanation:

Given

∠1 = 70°

To determine

We need to determine angle ∠5

From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.

We know that when two lines are parallel, their corresponding angles are equal.

As angle ∠5 is the corresponding angle of angle ∠1 = 70°.

Also, the corresponding angles are equal here.

Therefore,

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

be courteous to all but intimate with a few and let those few be well tried before u give them your confidence what does this mean

Answers

Answer:

You get out what you put in, like everything else in life. There are many levels of relationships and degrees of connection. We all respond and are available to different dynamics.

Step-by-step explanation:

All of the following are equivalent, except _____.

(8 + 3)x
11x²
11x
8x + 3x






hellllllllllllppppppppppp

Answers

Answer:  B)   11x^2

Explanation:

Choice A combines to 11x since the 8+3 simplifies to 11.

Choice D is a very similar story. Think of having 8 boxes, which we denote in shorthand as 8x. Then adding on 3 more boxes leads to adding on 3x. Having 8 boxes plus another 3 boxes gives 8+3 = 11 boxes total. So that's why 8x+3x = 11x. Alternatively, we can factor out the x to say 8x+3x = (8+3)x.

This shows choices A,C, and D are equivalent expressions. Choice B is the odd one out.

Please Help............

Answers

Answer: number 1

Step-by-step explanation:

Please helpp

-8x +(-56)=16

Answers

Answer:

x = -9

-8x + -56 = 16

-8x - 56 = 16

-8x = 16 + 56

-8x = 72

x = 72/8

x= -9

Answer:

-9

Step-by-step explanation:

-8x + (-56) = 16

Take away -56 from both sides

-8x = 72

Divide both sides by -8

x = -9

is 3399 a rational number

Answers

yes it is yes yes yes yes it is

What is the answer? 2c-5 C=4

Answers

Answer:

2(4)-5=3

we know that C is going to be multiplied by 2 and the value of C=4

so 2*4 = 2(4)

2(4)-5

2*4=8

8-5=3

So, the answer is 3

Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%

Answers

Answer:

Step-by-step explanation:

jordan traveled 255 miles out of 340 miles

340 miles.........................100 %

255 miles..........................   ?

255*100=2500/340=73%

See attachment for math work and answer.

Match each inequality with its solutions set

Answers

Answer:

1. will be 2×1+1<_3

2. with 1+3×-2>_5

3. with 5--2×3>_11

4.5×2+7>_17

if the original quanity is 10 and the new quanity is 12, what is the percent increase

Answers

Answer:

+20%

Step-by-step explanation:

None

Answer:

Step-by-step explanation:

20%

Can someone please help

Answers

Answer:

2x+7

Step-by-step explanation:

F(x+3)=2(x+3)+1

F(x+3)= 2x+6 +1 =2x+7

Which statement identifies a mistake Anna made if any

Answers

Answer:

she didn't make a mistake.Her answer is correct

A restaurant sold tacos and burritos. Tacos cost $2.00 and burritos cost $1.00. The restaurant sold 48 items for a total of $86.00. Write a system of equations.

Answers

Answer:

blank 1-2x+y1=86

Blank 2- x+y=48

Step-by-step explanation:

The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?

Answers

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.

what is 32z-48 factored with gcf

Answers

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

A family has four daughters, Molly, Daisy, Rosie and Tilly.
• Daisy is six years older than Molly.
• Molly is four years younger than Tilly.
• Rosie is one year older than double Molly's age.
• The total of their ages is 51.
Find the age of each of the four girls.

Answers

Answer:

Read Below

Step-by-step explanation:

Rosie 17

Daisy 14

Tilly 12

Molly 8

Answer:

these questions are in maths???

oh my gwad....

Please help me please

Answers

Im blind SKDJFJNEDKODNANSRNFIS

Answer:

I think this AB would equal 12! Let me know if its right or wrong :3

Step-by-step explanation:

Help please thank you

Answers

i think it’s the last one
130 degrees is the answer

Which of the following represent an exponential growth function?

Answers

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(4, 6) (2,0)

Answers

Answer:

-6/6 = -1

Step-by-step explanation:

y2 - y1                       0 - 6          -6

x2 - x1                       2 - 4           6   simplify and you get -1

Julie collects antiques. She bought one antique for $300. Its current value is represented by the expression 300(0.75)',
where t is the number of years Julie has owned the antique. Is Julie's antique going up or down in value?
Julie's antique is going
in value.

Answers

Answer:

they are gonna go down in value

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

If the value in the perenthesis is a decimal it is an exponential decay.

Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).​

Answers

Answer:

=  7 + (5 – 9)2 + 3(16 ÷ 8)

= 7 + (-4)2 + 3(2)

= 7 + (-8) + 6

= -1 + 6

= 5

Step-by-step explanation:

Remember to use PEMDAS when solving.

An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribution is $50.00 per month.

Answers

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay -  401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

Vivienne has 5 pets, all of which are either birds or cats. Her pets have a total of 14 legs. Choose the system of equations that can be solved to find the number of birds that Vivienne owns, b, and the number of cats that Vivienne owns, e.

Answers

Answer:

the system of equations is

b + e = 5

2b + 4e = 14

and the solved system gets you to the conclusion that vivienne has 3 birds and 2 cats

Step-by-step explanation:

b is the amount of birds and e is the amount of cats so adding them together would give you 5, the total amount of pets. so this is the first equation:

b + e = 5

next, we know that birds have two legs and cats have 4, so those respective numbers times the amount of each animal will give you 14, the amount of legs. so the equation would be:

2b + 4e = 14

so the system of equations would be

b + e = 5

2b + 4e = 14

i wasnt sure if you also needed to solve it but here it is solved

b = 5 - e

2(5 - e) + 4e = 14

10 - 2e + 4e = 14

10 + 2e = 14

2e = 4

e = 2

so using subsitution you would get b by using the value of e in the first equation.

b = 5 - e

b = 5 - 2

b = 3

so vivienne has 3 birds and 2 cats.

The required number of birds and cats Vivienne have is 3 and 2 respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Vivienne has 5 pets, all of which are either birds or cats.
Let the number of birds be x, and the number of cats be y,
x + y = 5, - - - - -(1)

Now,  Her pets have a total of 14 legs. Since a bird has 2 legs and a cat has 4 lags
According to the question,
2x + 4y = 14 - - - - -(2)

Solving equations 1 and 2,
2x + 4 (5 -x) = 14
2x + 20 - 4x = 14
2x = 6
x = 3

Now,
3 + y = 5
y = 2

Thus, the required number of birds and cats Vivienne have is 3 and 2 respectively.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ5



You mix soda water, fruit punch concentrate, and ginger ale in a ratio of 1:2:5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch

Answers

I don’t understand sorry

Answer:Fruit punch conertrat is 8

Step-by-step explanation: I did it and got 8 for fruit punch c

Holly has $225 to spend at the shopping mall. She decides to buy sweaaters and pants with her money. Sweaters cost $45 each and pants cost $25 each. The equation 45s + 25p = 225 represents this situation.

If Holly buys 3 sweaters, what is the greatest number of pants she can buy?

Answers

Answer:

3 pairs of pants

Step-by-step explanation:

Plug 3 in for s. Your equation should now be 45(3) +25p=225

Then distribute 135+25p=225

Subtract 25p=90

Divide p=3.6

Since you cannot buy half of a pair of pants you need to round down to three

find slope and y-intercept formed the graph if the linear equation
y=1/4x-8​

Answers

Answer:

not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.

Step-by-step explanation:

the slope is 1/4 while the y-intercept is -8 or (0,-8)

Answer: slope: 1/4

y-intercept: (0,-8)

Hope this helps and good luck :)

Step-by-step explanation:

PLEASE ANSWER‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

x-intercept = 9 y-intercept = 5

Step-by-step explanation:

a copy machine can copy a report in 30 min. when a second copy machine is used at the same time, the copying can be done in 18 min. how long would it take the second copy machine to do the copying alone?

Answers

Answer:

Step-by-step explanation:

A copy machine can copy a report in 30 mins. When a second copy machine is used at the same time, the copying can be sone in 18 min. How long would it take the second copu machine to do the copying alone?

i have:

x=30

x+y=18

that would be -12..not right?

The time taken that it take the second copy machine to do the copying alone should be considered as the 11.25 minutes.

Calculation of the time taken:

Let we assume x be the time required at the time when using both machines.

Let us assume the completed job = 1

we know that

copy machine 1 will do [tex]x/30[/tex] of the job

and

copy machine 2 will do [tex]x/18[/tex] of the job

So, it can be like

[tex]\frac{x}{30} + \frac{x}{18} = 1[/tex]

So,

18x + 30x = 540

48x = 540

x = 11.25 minutes

hence, The time taken that it take the second copy machine to do the copying alone should be considered as the 11.25 minutes.

Learn more about time here: https://brainly.com/question/24388291

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