Question

Solve the following system of equations using substitution or elimination: y = −8x − 9 y = −6x + 5

Answer 1

x = -7

y = 47

Explanation:

Given the system of equation

y = −8x − 9 ... 1

y = −6x + 5 ...2

Equating both expressions

-8x - 9 = -6x + 5

Collect like terms

-8x + 6x = 5 + 9

-2x = 14

x = 14/-2

x = -7

Substitute x = -7 into equation 1.

From 1: y = −8x − 9

y = -8(-7) - 9

y = 56 - 9

y = 47

Hence the solution to the system of equations (x, y) is (-7, 47)