Question

The value of m in the following system of equations is:

m-2n=8
n=m-2
A) m= -4
B) m= -6
C) m= 2
D) None of the choices are correct

Answer 1

n=m-2

m-2n=8, using n from above in this equation yields:

m-2(m-2)=8 perform indicated multiplication

m-2m+4=8 combine like terms on left side

-m+4=8 subtract 4 from both sides

-m=4 divide both sides by -1

m=-4

So the correct answer is A) m=-4