Rearrange the equation 3y=7-3x into 3y=-3x+7.
You then have Y in y=4x-6 and 3y in 3y=-3x+7.
You can then eliminate Y as follows.
Rearrange both equations to solve for X.
Y=4x-6 becomes Y + 6 = 4x.
3y=-3x+7 becomes 3y - 7 = -3x
To eliminate Y, first multiply the equation Y + 6 = 4x by 3.
You get 3y + 18 = 12x.
You now have 3y -7 = -3x and 3y +18 =12x
Eliminate Y by subtracting the equations term for term.
3y - 7 =-3x
minus
3y +18 =12x
gives
-7=-3x
+18=12x
Continue subtracting each term.
-7 - 18 = -3x -12x
or
-25 = -15x
multipy each side by -1
25=15x
divide each side by 15
25/15 = x
or
1 10/15 = x
or
1 2/3 = x
Now use x to solve for y, and check your answer in both equations.