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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)