Call, 3x - 2y = 10 , equation [1]
and
call, - 6x + 6y = - 8 , equation [2]
Now you can multiply equation [1] by 2 ,
2(3x - 2y) = 2(10)
6x - 4y = 20
Now you can add the two equations,
- 6x + 6y = - 8
+
6x - 4y = 20
0x + 2y = 12
2y = 12
Now you can divide both sides of the equation by 2 , to find the value of 'y' ,
(2y)/2 = 12/2
y = 6
So now you can put , y = 6 , into any one of the original equations
( i.e. into equation [1] or [2] )
I will chose equation [1],
3x - 2y = 10
3x - 2(6) = 10
3x - 12 = 10
3x - 12 + 12 = 10 + 12
3x = 22
(3x)/3 = 22/3
x = 22/3
So the solutions for these equations are: y = 6 and x = 22/3