### Home > CC3 > Chapter 7 > Lesson 7.1.1 > Problem 7-10

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. Homework Help ✎

*x*+ 4*y*= 2

*x*+ 4*y*= 102

*x*+ 4*y*= −10

*x*+ 2*y*= −5

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

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