Answer:
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