Answer :
Isolate the X in the second equation
x=2y+14
Substitute that in for the x in the fist equation
7(2y+14) + 2y = 2
Distribute the 7
14y+14+2y=2
Combine like terms
16y+14=2
Isolate the 16y
16y=-12
Isolate y by dividing the whole equation by 16
y=-12/16
Simplify
y=-3/4
That is your y. To find x, plug y into one of the equations. I'm plugging it into the version of the second equation after we isolated x.
x=2(-3/4)+14
Distribute the 2
x=(-1.5)+14
Simplify
x=12.5
x=2y+14
Substitute that in for the x in the fist equation
7(2y+14) + 2y = 2
Distribute the 7
14y+14+2y=2
Combine like terms
16y+14=2
Isolate the 16y
16y=-12
Isolate y by dividing the whole equation by 16
y=-12/16
Simplify
y=-3/4
That is your y. To find x, plug y into one of the equations. I'm plugging it into the version of the second equation after we isolated x.
x=2(-3/4)+14
Distribute the 2
x=(-1.5)+14
Simplify
x=12.5