The equations in the system are linear equations.
The solution to the system of equations is (-5,-3)
How to determine the solution
The system of equations is given as:
[tex]-8x-7y=61[/tex]
[tex]x+y=-8[/tex]
Multiply the second equation by 8
[tex]8x + 8y = -64[/tex]
Add the new equation with the first equation
[tex]- 8x + 8x - 7y + 8y = 61 -64[/tex]
Evaluate the like terms
[tex]y = -3[/tex]
Substitute -3 for y in [tex]x+y=-8[/tex]
[tex]x -3 = -8[/tex]
Add 3 to both sides
[tex]x = -5[/tex]
Hence, the solution to the system of equations is (-5,-3)
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