Solve the system of equations: 6x+2y=8 and 12x+y=22

The answer to the question

Let's solve your system by substitution.

6x+2y=8 and 12x+y=22

Rewrite equations:

12x+y=22; 6x+2y=8

Step: Solve12x+y=22 for y:

12x+y=22

12x+y+-12x=22+-12x (Add - 12x to both sides)

y=-12x+22

Step: Substitute-12x+22foryin6x+2y=8:

6x+2y=8

6x+2 (-12x+22) = 8

-18x+44=8 (Simplify both sides of the equation)

-18x+44+-44=8+-44 (Add - 44 to both sides)

-18x=-36

-18x

-18

=

-36/-18

(Divide both sides by - 18)

x=2

Step: Substitute 2 for x in y=-12x+22:

y=-12x+22

y = (-12) (2) + 22

y=-2 (Simplify both sides of the equation)

Answer:

x=2 and y=-2