### Home > CC3 > Chapter Ch7 > Lesson 7.1.1 > Problem7-10

7-10.

Find the solution for each system of equations below, if a solution exists. If there is not a single solution, explain why not. Be sure to check your solution, if possible.

1. $x+4y=2$
$x+4y=10$

Since $x$ represents the same number in the first equation as it does in the second, as does $y$, and the same operations are being carried out, the equations would have to equal the same number.

No solution

1. $2x+4y=-10$
$x+2y=-5$

Can you multiply both sides of the second equation by anything to get the first? If so, the equations will be the same.