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