Answer :
Solution of the system:
x = 8
y = -7
Step-by-step explanation:
In this problem, we have to solve a system of 2 equations. The system is the following:
[tex]-x-2=-10\\x+y=1[/tex]
We proceed in the following way:
1) First, we find x from the 1st equation. We add +2 on both terms of the 1st equation, and we get:
[tex]-x-2+2=-10+2\\-x=-8[/tex]
Then, we multiply by -1 both sides of the equation, and we get:
[tex]-x\cdot (-1) = -8 \cdot (-1)\\x=8[/tex]
2) Now we replace x = 8 into the 2nd equation, and we solve for y. We find:
[tex]8+y=1[/tex]
Subtracting 8 on both sides,
[tex]8+y-8=1-8\\y=-7[/tex]
So, the solution of the system is
x = 8
y = -7
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