Solve the following system of equations:
y=2x + 1
y = -x+4

x= ?
y=?​

Answers

Answer 1

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3


Related Questions

Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)

Answers

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay Colleen back altogether

Answers

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour

Answers

Answer:

Approximately [tex]3410[/tex] steps each hour.

Step-by-step explanation:

Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.

Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.

To find: Number of steps, approximately, she walked each hour.

Solution: We have,

Total number of steps [tex]=20,458[/tex] steps.

Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.

So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.

Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.

8•1 and 8
pls need help ASAP​

Answers

Answer: Yes the two expressions are equal because 8 times 1 is 8

8 = 8

Step-by-step explanation: hope this helps

The circumference of a tire is 96 inches. Determine the radius of the tire. Use 3 for π. *

Answers

Answer:

Circumference = 2*pi*radius. Pi = 3. 2 * 3 = 6. Find r: 96/6 = 16.

Step-by-step explanation:

i think it is this 16




Beginning with the equation x = 6, write the new equation produced by multiplying both sides by 6


Help and you earn 34 points

Answers

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer:

(x-6)(x+6)

Step-by-step explanation:

cause you see x-6 is part of it cause ur multiplying

and x+6  of it cause ur multiplying both sides

for both.

and sorry for like typos or thing slike that cause i been typing a whole essay today for college

like 1000 words

i don't understand the math. please help.

Answers

Answer:

a. $105

b. $455

Step-by-step explanation:

The internal measures of a cuboidal room are 9m, 5m and 6m respectively. Find the total cost of
whitewashing all four walls of a room, if the cost of white washing is ₹ 5 per sq.m. What will be the cost of white washing if the ceiling of the room is also whitewashed.

Answers

Answer:

₹ 1290

Step-by-step explanation:

The total surface area of the room = 2(LW + WH + LH)

TSA = 2(9*5 + 9*6 + 5*6)

TSA = 2(45 + 54 + 30)

TSA = 2(129)

TSA = 258

Hence the total surface area of the room is 258m²

If 1m² = ₹ 5

258m² = 5(258) = ₹ 1290

The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290

Helppp pleaseeee

Someone pleaseeeee

Answers

I think the answer is c

10. Solve the system of
equations by substitution.
-8x + 2y = 4
y = 4x + 2

Answers

Answer: 4x-y+2=0 i think

Step-by-step explanation

A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,

Answers

Answer:

[tex]y-4=\frac{1}{2} (x+10)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point (-10,4)

[tex]y-4=m(x-(-10))[/tex]

Two negatives make a positive

[tex]y-4=m(x+10)[/tex]

Plug in the slope

[tex]y-4=\frac{1}{2} (x+10)[/tex]

I hope this helps!

Solve for y.
3/11=6/y

Answers

Solve for y.3/11=6/y

ANSWER

[tex]y = 22[/tex]

EXPLANATION

Multiply both sides by y × 11

[tex]3y = 6 \times 11[/tex]

Solve a solution to y

[tex]y = 22[/tex]

HopeItHelps you

what are the coordinates of this point?

giving brainliest answer to first person to answer

Answers

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation:

Simplify the following rational expression.

Answers

Answer:

I did Mental Math and Got 6!

5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.

Which of the following is equivalent to 3(y−1+2y)?

Answers

Answer: I believe its y=1/3

Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?​

Answers

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

Answer:

The answer is  203

Step-by-step explanation:

 I  started off by dividing 609 by 3 and your answer is on the top. You're welcome!!

PLEASE HELP! NEED HELP NOWWWW!!!! PLS! HELPPPP

Write the linear equation for the following word problem:

Your family has decided to go to the lake and rent a canoe. The rangers charge $6.50 per hour in addition to a $25 rental fee.

Answers

Answer:

$44.50

Step-by-step explanation:

help! Giving out extra points and brainlist

Answers

Put (-3,9) on the second quadrant and (1,1) on the first the quadrant you will get 8/2 using rise/run
Simplified its 4/1
Here’s the graph
Y intercept is (0,3)
Slope -2
I hope this helped :)

HELLO URGENT PLS HELP ME WITH THIS

Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.

1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.

2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.​

Answers

Answer:

try subtracting 1000,000-40000. I may be wrong

6. Create an equation and solve for n.
5n - 11

Answers

Answer:

11-n=5

Step-by-step explanation:

A line passes through the points (1, 10) and (0, 2). What is its equation in slope-intercept
form?

Answers

________the answer is Y=8X+2___________

Step-by-step explanation:

_

Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)

Answers

Answer:627.072

Step-by-step explanation:

My last one please help me

Answers

Answer:

Step-by-step explanation:

Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.

A and B look like they are added.

C looks like some sort of subtraction has taken place.

D: - 1 * 7 = - 7

4*7 = 28

5*7 = 35

What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2

Answers

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Find the measure of angle A.
x + 47
780
x + 61
A) 31°
B) 44°
C) 51°

Answers

A hope it’s correct

Answer:

180 degrees in a triangle

180 - 78 - 47- 61 = -6

2X = -6

-6/2 = -3

-3 + 47 = 44

-3+61= 58

78 + 58 + 44= 180

A = 44 degrees

I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!

Answers

Answer:

Is this a test

Step-by-step explanation:

2 diminished by 7 times a number

Answers

The answer is 2-7x I'm 100% sure

Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?

Answers

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

A bouncy castle can be hired for party's. The cost is given by Cost=£4.70 times number of children + £86. What is the cost of the bouncy castle for 13 children. At a different party, the cost of hiring the bouncy castle was £165.90.How many children went to the party.

Answers

Answer:

A. £147.10

B. 17 children

Step-by-step explanation:

Let

Number of children = x

Cost of hiring a bouncy castle = £4.70 * x + £86

What is the cost of the bouncy castle for 13 children

Cost of hiring a bouncy castle = £4.70 * 13 + £86

= £61.1 + £86

= £147.10

How many children went to the party when cost of hiring bouncy castle = £165.90

Cost of hiring a bouncy castle = £4.70 * x + £86

£165.90 = £4.70 * x + £86

165.90 = 4.70x + 86

165.90 - 86 = 4.70x

79.9 = 4.70x

x = 79.9/4.70

= 17

x = 17 children

Matt has answered the questions on a test. What percentage of the test questions have 20/25 Matt answered?

Answers

Answer:

80% complete with the test

Step-by-step explanation:

what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.

Hope this helps :)

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