Question

Solve the system of equations using the substitution method.

Answer 1

y = -1 + 3/8x

2x - 5y = 6

Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

2x + 5 - 15/8x = 6

2x - 15/8x = 1

16/8x - 15/8x = 1

1/8x = 1 Multiply 8 on both sides to get x by itself

x = 8

Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2

2(8) - 5y = 6

16 - 5y = 6

-5y = -10

y = 2

(8,2)