Question

What is the solution (x, y) to the system of equations shown?

2y + x = −17
5x − 4y = −15

A) (−7, −5)
B) (−4, −1)
C) (−3, 0)
D) (5, −11)

Answer 1

x=-7, y=-5. (-7, -5).

Explanation:

2y+x=-17

5x-4y=-15

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x=-17-2y

5(-17-2y)-4y=-15

-85-10y-4y=-15

-85-14y=-15

14y=-85-(-15)

14y=-85+15

14y=-70

y=-70/14

y=-5

2(-5)+x=-17

-10+x=-17

x=-17-(-10)

x=-17+10

x=-7