For your first question, substitute x = -1 -2y into the first equation, leaving you with
-4 -8y -5y = 22, which cqn be rearranged to
-13y = 26
y = -2
2x +6 = 16
2x = 10
Do your second question the same way.
For your third question, the other inequality you have is
10 x + 5 y >= 150
Solve the "equals" case first.
x + y = 25
10x + 5y = 150
5x + 5y = 125
5x = 25
x = 5
y = 20
If you work more than 5 hours per week at the higher wage, and 20 or less at the lower paying job (but totaling 25 hours) you will earn more than $150 per week. Plot a graph to show the allowed regions of x-y space.
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