Question

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

Answer 1

The answer to the question

Answer 2

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