Answer:
[tex]4x+12y=-7[/tex]
Step-by-step explanation:
we have
[tex]2x+7y=-8[/tex] ----> First equation
[tex]-2x-5y=-1[/tex] ----> Second equation
Subtracting the second equation from the first is the same as multiplying the second equation by -1 and then adding the equations
so
Multiply by -1 both sides the second equation
[tex]-1(-2x-5y)=-1(-1)[/tex]
[tex]2x+5y=1[/tex]
Adds the equations
[tex]2x+7y=-8\\2x+5y=1\\-------\\2x+2x+7y+5y=-8+1[/tex]
Combine like terms
[tex]4x+12y=-7[/tex]
