Question

Which ordered pair is the solution to this system of equations?

LaTeX: x+2y=-1
x
+
2
y
=
−
1

LaTeX: x-3y=14
x
−
3
y
=
14

Group of answer choices

(14, 27)

(27, 14)

(-3, 5)

(5, -3)

Answer 1

(5, - 3 )

Explanation:

Given the 2 equations

x + 2y = - 1 → (1)

x - 3y = 14 → (2)

Subtracting (2) from (1) term by term will eliminate the term in x, that is

(x - x) + (2y - (- 3y)) = (- 1 - 14)

5y = - 15 ( divide both sides by 5 )

y = - 3

Substitute y = - 3 into either of the 2 equations

Substituting into (1)

x + 2(- 3) = - 1

x - 6 = - 1 ( add 6 to both sides )

x = 5

Solution is (5, - 3 )

Answer 2

I think the answer is (27, 14)