Solve the system of equations using substitution.

Question

x+5y= -1

-3x+ 6y= 3

Answer 1

Equations:

• x+5y= -1       Equation 1
• -3x+ 6y= 3    Equation 2

 

Solve Equation for (x).

• x = -1-5y

Substitute into Equation 2.

• -3(-1-5y) + 6y = 3
•   3 + 15y + 6y = 3
•           21y + 3 = 3
•                 21y = 0
•                     y = 0

 

Substitute into Equation 1.

• x + 5(0) = -1
•            x = -1