Question

4x+2y=10 and x-y=13 using system of substitution

Answer 1

x = 6

y = -7

(6, -7)

Explanation:

4x + 2y = 10 x - y = 13

Rewrite the second equation solving for x

x - y = 13 Add y to both sides of the equation

x = y +13 Now substitute y + 13 into the first equation for x.

4x + 2y = 10

4(y+13) + 2y = 10 Distribute the 4

4(y) + 4(13) + 2y = 10

4y + 52 + 2y = 10 Combine the ys

6y + 52 = 10 Subtract 52 from both sides

6y = -42 Divide both sides by 6

y = -7 Now plug -7 back into either of the first two original equations to find x.

x - y = 13

x - (-7) = 13

x + 7 = 13 Subtract 7 from both sides of the equation.

x = 6

Answer 2

X is 6 and y is -7 ?