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Answer:
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
Step-by-step explanation:
We need to solve the system of equation and find value of x and y
The system of equation given is:
[tex]y = -x + 1\\y = -2x - 2[/tex]
Let:
[tex]y = -x + 1--eq(1)\\y = -2x - 2--eq(2)[/tex]
We would use substitution method.
Put value of y from eq(1) into eq(2) and find value of x
[tex]Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3[/tex]
So, we get x = -3
Now, for finding value of y, put value of x = -3 into equation 1
[tex]y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4[/tex]
So, we get y=4
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)