Question

Solve by substitution. Eq #1 y = -2x - 9 Eq #2 y = 3x + 1

Answer 1

y = -2x - 9 ----------- 1

y = 3x + 1 -------------- 2

Step 1

Substitute y from equation 1 to equation 2.

y = -2x - 9

3x + 1 = -2x - 9

Step 2

Collect like terms

3x + 2x = - 9 - 1

5x = -10

Step 3

Divide through by 5

x = -10/5

x = -2

Step 4

Substitute x in equation 2 to find y.

y = 3x + 1

y = 3(-2) + 1

y = -6 + 1

y = -5

So the solution is (-2, -5)