Step-by-step explanation
Given both equations:
(1) 6x-6y = 12
(2) x - 7y= -4
First, need to replace (1) in (2)
Isolating x for 6x - 6y=12 will give us:
Adding 6y to both sides:
6x-6+6y=12+6y
Simplifying:
6x= 12+6y
Dividing both sides by 6
6x/6=12/6 + 6y/6
Simplifying:
x=2+y
-Substituing x=2+y
2+y-7y = -4
Simplifying:
2-6y =-4
-Isolating y for 2-6y=-4:
-For x=2+y
Substitute y=1
x=2+1
Simplify
x=3
Finally, the solutions to the system of equations are:
x=3 , y=1