Question

Solve the system of equations -x-y=-6 and 2x+7y=-3 by combining the equations.

Answer 1

x = 9

y = -3

Explanation:

-x - y = -6

2x + 7y = -3

----------------------------

2(-x - y = -6)

-2x - 2y = -12

----------------------------

-2x - 2y = -12

2x + 7y = -3

5y = -15

÷5 ÷5

y = -3

----------------------------

-x - y = -6

-x - (-3) = -6

-x + 3 = -6

-3 -3

-x = -9

÷-1 ÷-1

x = 9

I hope this helps!

Answer 2

One solution (9,-3)

Explanation:

-x - y = -6

2x + 7y = -3

7(-x - y = -6) = -7x - 7y = -42

2x + 7y = -3

-7x - 7y = -42

2x + 7y = -3

-5x = -45

/-5 /-5

x = 9

-x - y = -6

-9 - y = -6

+9 +9

-y = 3

/-1 /-1

y = -3

(x, y) -> (9, -3)

Hope this helps!