Use the method of substitution to solve the system of linear equations.

Question

4x-y=2

9x-2y=7

The solution is what? (Type an ordered pair.) 

Answer 1

Solve for y in first equation

4x-2=y

Substitute this for y in the second equation which becomes:

9x-2(4x-2)=7

9x-8x+4=7

x+4=7

x=3

Plug 3 for x into first equation.

4(3)-2=y=10

Confirm by second equation

9(3)-2(10)=27-20=7