Question

Solve for m. 5m+7/2 = −2m+5/2

a. -1/7
b. 6/7
c. 7
d. -1

Answer 1

`5m+(7)/(2)=-2m+(5)/(2)\qquad|\text{add 2m to both sides}\\\\7m+(7)/(2)=(5)/(2)\qquad|\text{subtract}\ (7)/(2)\ \text{from both sides}\\\\7m=(5-7)/(2)\\\\7m=(-2)/(2)\\\\7m=-1\qquad|\text{divide both sides by 7}\\\\\boxed{m=-(1)/(7)}`