Question

Solve the system of equations and choose the correct ordered pair.

2x - 6y = 8
5x - 4y = 31

Answer 1

The solution is (7, 1).

Explanation:

2x - 6y = 8 Multiply this by -5.

5x - 4y = 31 Multiply this by 2.

-10x + 30y = -40 ...(1)

10x - 8y = 62.........(2)

Adding (1) and (2):

22y = 22

y = 1.

Substitute for y in the first equation:

2x - 6(1) = 8

2x = 14

x = 7.