Question

What is the solution to this system of equations?

X+y=1
2x - y = -10
O (3,4)
O (4,3)
O (-3,4)
O (3,-4)

Answer 1

(- 3, 4 )

Explanation:

x + y = 1 ( subtract x from both sides )

y = 1 - x → (1)

2x - y = - 10 → (2)

Substitute y = 1 - x into (2)

2x - (1 - x) = - 10 ← distribute parenthesis and simplify left side

2x - 1 + x = - 10

3x - 1 = - 10 ( add 1 to both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

substitute x = - 3 into (1)

y = 1 - (- 3) = 1 + 3 = 4

solution is (- 3, 4 )