Solve the equation for y.
3x-6y=6;
Solution
The equation needs to be in the format as follows:
y = bx + c
Step 1
3x-6y=6
Add 6y to each side of equation
3x-6y+6y=6 + 6y
3x=6+6y
Subtract 6 from each side of equation
3x-6=6+6y-6 = 6-6+6y
3x-6=6y or 6y = 3x-6
6y=3x-6
Divide each side by 6
6y(1/6)=(1/6)(3x-6)
(6/6)y=(1/6)3x - (1/6)6
(6/6)y=(3/6)x - (6/6)
6/6 = 1; 3/6 = 1/2
y = (1/2)x-1
2. Find the value of y for the given value of x
x= 2
y = (1/2)x-1
y = (1/2)(2) -1
y = (2/2)-1
2/2 = 1
y = 1-1=0
y = 0
Check our work that for x = 2; y = 0;
Use the original equation 3x-6y=6;
3x-6y=6 x = 2 and y = 0
3(2)-6(0)=6;
6-0=6
6=6 TRUE