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3 years ago

What is the solution to the system of equations? {y=5x−10y=−3x+14

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

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(2r - 6)(-5r+4) what is the product

Akimi4 [234]

Answer:

$-10r^{2} +38r-24$

Step-by-step explanation:

Apply FOIL method: $(a+b)(c+d)=ac+ad+bc+bd$

$a=2r,b=-6,c=-5r,d=4$

$=2r(5-r)+2r*4+(-6)(-5r)+(-6)*4$

Apply minus - plus rules

$+(-a)=-a,(-a)(-b)=ab$

$=-2*5rr+2*4r+6*5r-6*4$

Simplify

Multiply $-2*5rr=-10r^{2}$

$=-10r^{2} +2*4r+6*5r-6*4$

Multiply $2*4r=8r$

$=-10r^{2} +8r+6*5r-6*4$

Multiply $6*5r=30r$

$=-10r^{2} +8r+30r-6*4$

Combine like terms

$=-10r^{2} +38r-6*4$

Multiply $-6*4=-24$

$=-10r^{2} +38r-24$

$-10r^{2} +38r-24$

6 0

3 years ago

Solve for x. 7x−9<12 or 14x+8>11

Vitek1552 [10]

Answer:

For 7x-9<12, the answer is x<3

For 14x+8>11, the answer is x>3/14

Step-by-step explanation: Isolate the variables by dividing each side by factors that do not contain the variable.

I hope this helps you out! :)

4 0

3 years ago

Mr. Cooper is building a playset in his backyard for his kids. He has a made a scale drawing of the playset to help him estimate

Rus_ich [418]

Answer: 2?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Determine the equation of the linear graph that passes through (-2,3) and (4,6). State your answer in the

Lena [83]

The linear equation is y = 4 + 0.5x

<h3>How to determine the equation?</h3>

The points are given as: (-2,3) and (4,6)

The equation is then calculated using:

$y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1$

Substitute the known values

$y = \frac{6-3}{4+2} *(x+2) + 3$

Evaluate

y = 0.5 *(x+2) + 3

Expand

y = 0.5x + 1 + 3

Evaluate the sum

y = 0.5x + 4

Rewrite as:

y = 4 + 0.5x

Hence, the equation is y = 4 + 0.5x

Read more about linear equations at:

brainly.com/question/14323743

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3 0

2 years ago

Solve 3.8 = p/3 - 7.2

ziro4ka [17]

19/5=p/3-36/5

Convert the decimals into fractions

15 x 19/5=(p/3-36/5) x 15

Multiply both sides by 15

57=5x-108

5x-108+108=57+108

Add 108 to both sides

5x=165

X=33

Answer

Hope this helps

7 0

3 years ago