Question

Solve the system of equations using elimination.
2x+5y= (-23)
5x+13y=(-60)

Answer 1

x = 1, y = -5

Explanation:

2x + 5y = (-23) (1)

5x + 13y = (-60) (2)

Multiply (1) by 5 and (2) by 2 to eliminate x

10x + 25y = -115 (3)

10x + 26y = -120 (4)

Subtract (3) from (4)

26y - 25y = -120 - (-115)

y = -120 + 115

y = -5

Substitute y = -5 into (1)

2x + 5y = (-23)

2x + 5(-5) = -23

2x - 25 = -23

2x = -23 + 25

2x = 2

x = 2/2

x = 1

x = 1, y = -5