Solve the system of equations
−2x+3y=3
−4x+5y=1

Answers

Answer 1

Answer:

x= 6, y= 5

Step-by-step explanation:

-2x +3y= 3 -----(1)

-4x +5y= 1 -----(2)

(1) ×2:

-4x +6y= 6 -----(3)

(3) -(2):

-4x +6y -(-4x +5y)= 6 -1

Expand:

-4x +6y +4x -5y= 5

y= 5

Substitute y= 5 into (1):

-2x +3(5)= 3

-2x +15= 3

2x= 15 -3

2x= 12

x= 12 ÷2

x= 6


Related Questions

Write the slope of the line passing through the two points: (7,8) and (0,5)

Answers

Answer:

3/7

Step-by-step explanation:

slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{5-8}{0-7}[/tex] = -3/-7 = 3/7

What are the slope and y-intercept of the line?

Answers

slope = -170. y-intercept = 1020

Step-by-step explanation:

Let [tex]P_1(0, 1020)[/tex] and [tex]P_2(6, 0).[/tex] The slope can be calculated as

[tex]m = \dfrac{0 - 1020}{6 - 0} = -170\:\text{m/hr}[/tex]

So the equation can be written as

[tex]y = -170x + b[/tex]

To solve for b, let's use the values for P2:

[tex]0 = -170(6) + b \Rightarrow b = 1020[/tex]

Therefore,

[tex]y = -170x + 1020[/tex]

To find the y-intercept, let x = 0. then the y-intercept is

[tex]y = -170(0) + 1020[/tex]

or

[tex](0, 1020).[/tex]

solve the equation 6= A/2 + 2

Answers

Answer:

A = 8

Step-by-step explanation:

A/2 + 2 = 6

subtract 2 from each side to get:

A/2 = 4

multiply each side by 2 to get:

A = 8

Can someone help please

Answers

Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2

give examples plz
I will make the brainliest. ​

Answers

Jhhdcc C ffvtt he fhhjjmncfhnbcfgbnbvgghmnbjkmn

30 percent of a number is 48 what is 50 percent of the same number

Answers

0.3x = 48

So x is 48/0.3

Therefore, 0.5 times 48/0.3 is the answer

A line has a rise of 3 and a run of 12. What is the slope?
4
1/4
1/3

Answers

Answer:

1/4

Step-by-step explanation:

Rise/run=3/12 divided by 3 = 1/4

Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW

Answers

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

The fraction 1/16 can correctly be read as
Question 5 options:

one divided by sixteen.

sixteen divided by 1.

one sixth.

one and one sixth.

Answers

The given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.

A fraction can be defined as a numerical quantity that isn't a whole number and as such has two (2) parts.

Hence, a fraction is simply a part of a whole number.

Generally, a fraction comprises two (2) main parts and these include:

Denominator: this refers to the lower part of a fraction.Numerator: this is the upper part of a fraction.

Mathematically, a fraction is represented as:

[tex]Fraction \;A = \frac{1}{16}[/tex]

In order to read a fraction, you will start by naming the numerator (upper part) followed by the denominator (lower part).

In this scenario, the given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.

Read more: https://brainly.com/question/6201432

write the solution in interval notation: 1/4x−3≥−1 and −3(x−2)≥2

Answers

Answer:Mark me as Brainliest please

Step-by-step explanation:

Let's solve your inequality step-by-step.

[tex]\frac{1}{4}x-3\geq -1[/tex]

Step 1: Add 3 to both sides.

[tex]\frac{1}{4} x-3+3\geq -1+3[/tex]

[tex]\frac{1}{4} x\geq 2[/tex]

Step 2: Multiply both sides by 4.

[tex]4*(\frac{1}{4} x)\geq (4)*(2)[/tex]

Answer:

x≥8

Let's solve your inequality step-by-step.

−3(x−2)≥2

Step 1: Simplify both sides of the inequality.

−3x+6≥2

Step 2: Subtract 6 from both sides.

−3x+6−6≥2−6

−3x≥−4

Step 3: Divide both sides by -3.

[tex]\frac{-3x}{-3} \geq \frac{-4}{-3}[/tex]

Answer:=[tex]x\leq \frac{4}{3}[/tex]

which prime number is found in between 70 and 80 and is made up of two odd digits which add up to 10

Answers

73. This adds to 10 and is prime

Answer:71

71, 73 and 79

Step-by-step explanation:

A prime number is a number that can only be divided by 1 or itself. Otherwise, it is a composite numbers.

There are three numbers between

70

and

80

that fit this criteria,

71

,

73

, and

79

Suppose you invest 18,400.00 into an account earning an interest rate of 2.991% compounded continuously for 2 year(s) and thereafter earning an interest rate of 4.192%compounded yearly. How much money is in the account after 9 years?

Answers

[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]

now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.

[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]

[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]

$120; Markup: 35%

What's the final price? pls show how u got the answer...​

Answers

Answer: 162

Step-by-step explanation:

So you will need to find the Markup. The original cost is $120.

Divide the number by 100 is 1.2. $1.2 is 1% of the $120.Now times the number by 35. $1.2 x 35 is $42.Finally, add the number. 120 + 42 = 162.

I hope this is the answer you are looking for.

A pound of fertilizer covers 39 square feet lawn.Vivian Bulgakov lawn measures 7072.7 square feet,How much fertilizer,to the nearest tenth of a pound does she need to buy?

Answers

Answer: 275835.5

because 7072.7 times 39

What is the slope of the line on the graph? Enter your answer in the box.​

Answers

slope = rise/run

slope = (-6)/3

slope = -2

Given ABCD, what is the measure of

Answers

Answer:

srry dude this isn't rly a quesiton

Add the polynomials (-4x^3 + x^2y - xy^2), (3x^3 - xy^2 + 5x^2y) and (7xy^2 + 3y^3)

Answers

Answer:

4x³+x²

Step-by-step explanation:

to I was awesome and u too go to north and u too go home with he sister or talk

Can someone please help me thank you

Answers

36 is the answer, hope this helps.

The table shows the mass of a substance decreasing over a period of time during a chemical experiment.
Identify a quadratic model for the mass M, given the time t. Then use the model to predict the mass at t = 11
seconds
Time (s) Mass (g)
2
94.8
5
87.9
8
81.3
B
O M(x) = -0.02x2 - 2.42x + 99.57
M(11) - 75 g
O M(x) = 0.02x2 - 2.42x + 99.57
M(11) - 1299
O M(x) = -0.02x2 - 2.42X + 99.57
M(11) = 129 g
O M(x) = 0.02x2 - 2.42x + 99.57
M(11) = 75 g

Answers

So from a table, we want to find an equation that models the mass as a function of time, we will get the equation:

M(t) = 0.02*t^2 - 2.42*t + 99.57

And with that equation, we will find that the mass after 11 seconds is 75 grams.

From the table we have the points:

(2, 94.8)

(5, 87.9)

(8, 81.3)

And we know that this follows a quadratic model, then we have:

M(t) = a*t^2 + b*t + c

Notice that from the known points, we have 3 equations:

94.8 = a*2^2 + b*2 + c

87.9 = a*5^2 + b*5 + c

81.3 = a*8^2 + b*8 + c

So we have a system of equations, we can simplify the equations to get:

94.8 = a*4 + b*2 + c

87.9 = a*25 + b*5 + c

81.3 = a*64 + b*8 + c

To solve this, we start by isolating one of the variables in one of the equations, let's isolate c in the first one.

c = 94.8 - a*4 - b*2

now we replace this in the other two equations to get:

87.9 = a*25 + b*5 + (94.8 - a*4 - b*2)

81.3 = a*64 + b*8 + ( 94.8 - a*4 - b*2)

Now we simplify these two equations to get:

-6.9 = a*21 + b*3

-13.5 = a*60 + b*6

Now we do the same thing, I will isolate b in the first equation:

b = (-6.9 - a*21)/3 = -2.3 - a*7

Now we replace this in the other equation:

-13.5 = a*60 + (-2.3 - a*7)*6

Now we can just solve this for a:

-13.5 = a*(60 - 7*6) - 2.3*6

    0.3    = a*18

0.3/18 = a = 0.016

Wich can be rounded to:

a = 0.02

Then the value of b is:

b = -2.3 - a*7 = -2.3 - 0.016*7 = -2.42

And the value of c is:

c = 94.8 - a*4 - b*2 = 94.8 - 0.016*4 - (-2.42)*2 = 99.57

So the equation is:

M(t) = 0.02*t^2 - 2.42*t + 99.57

Now we can evaluate this in t = 11s to get:

M(11) = 0.02*11^2 - 2.42*11 + 99.57 = 75.37

Wich can be rounded to 75 grams.

If you want to learn more, you can read:

https://brainly.com/question/20067450

A store manager is marking down cameras from $300 to $150. What percentage is the discount?

Write your answer using a percent sign (%).

Answers

Answer:

the discount is 50% the previous price

Choose the correct answers.
Jane Dilford gets a student rate of $30.00 a month for health Insurance. There is a $250 deductible, but no coinsurance
payment. She recently recelved treatment for a covered condition. The bill was $2,550.00 Jane's Insurance company
provided payment of 80% of the bill less the deductible.
What was the company's payment? $2,040 or $1,840
V
What was Jane's total cost (not including monthly premium)? $510 or 710

Answers

Answer:

1840 amd 710

Step-by-step explanation:

100.000.000x30

Kaçtır?

Answers

Answer:

the answer is 3000000000

A group of ten people includes six men and four women. If five of these people are randomly selected to fill out a questionnaire, how many different samples of five people are possible?

Answers

20 different samples

find DEC

pls give through explanation

Answers

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,

⇛ Angle AEB = Angle DEC

⇛ 9x + 8° = 3x + 42°

⇛ 9x - 3x = 42° - 8°

⇛ 6x = 34°

⇛ x = (34/6)°

To find: Angle DEC = 3(

34/6 °) + 42° = 59° (Ans)

Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house

Answers

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

t=1/15x3

t=3/15hr

t=.2hr

t=12 mins

plus 15 mins to lock up bike, 27 mins

27 mins before 8:30 is 8:03

pls mark branliest

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

1.25 rounded:

1.30

1.04 rounded:

1.00

Add.



45+3110



Enter the sum in the box as a mixed number in simplest form.

Answers

Answer:

3110+45=3155

Step-by-step explanation:

just add them to

Can someone please help me?

Answers

You are right correct



i need help with 32

Answers

Answer: See the drawing below

Explanation:

The region to the left of x = -3 has f(x) > 0, aka f(x) is positive. This is due to the sign chart indicating this with a + sign. The same applies from the region between x = -3 and x = -2. The graph will show f(x) above the x axis for these two regions.

When -2 < x < 0, f(x) is now negative and below the x axis. It goes above the x axis for the interval 0 < x < 2. Then it dips back down below the x axis again once it passes x = 2.

The graph below visually summarizes everything talked about. Keep in mind that there are infinitely many ways to draw a graph like this. There's not enough info to pin down one exact answer.


Please help me ASAP

Answers

Answer:

New points:

N: (4,-5)

X: (2,-3)

B: (-1,-4)

Step-by-step explanation:

Rotate about the origin (0,0) counter clockwise 90 degrees

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