system of equations

Question

Explain, in complete sentences, how you would use the substitution method to solve the following system of equations and provide the solution to the system.

x + 5y = 3
2x + 9y = 4

Answer 1

Solve for x in terms of y in equation one. x = 3-5y

Substitute in for x in equation 2. 2(3-5y) + 9y = 4

Solve for y. y = 2

Plug the value of y into either equation to find x. x = 3-5(2) = -7