### Home > GC > Chapter 6 > Lesson 6.1.3 > Problem 6-26

6-26.

Solve the systems of equations below using any method, if possible. Show all work and check your solution. If there is no solution, explain why not. Homework Help ✎

*y*= 2*x*+ 83

*x*+ 2*y*= −122

*x*− 5*y*= 45

*y*− 2*x*= 10

Use the substitution method. Remember to check your answer.

*x* = −4, *y* = 0

Use the Elimination Method.

2*x* − 5*y* = 4

−2*x* + 5*y* = 10

0 + 0 = 14

0 ≠ 14

No solution, the lines are parallel.