Question 389658
x+3y=12_2x+y=4

Since x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting x from both sides.
3y=-x+12_2x+y=4

Divide each term in the equation by 3.
(3y)/(3)=-(x)/(3)+(12)/(3)_2x+y=4

Simplify the left-hand side of the equation by canceling the common factors.
y=-(x)/(3)+(12)/(3)_2x+y=4

Combine the numerators of all expressions that have common denominators.
y=(-x+12)/(3)_2x+y=4

Since 2x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2x from both sides.
y=(-x+12)/(3)_y=-2x+4

Create a graph to locate the intersection of the equations.  The intersection of the system of equations is the solution.
y=(-x+12)/(3)_y=-2x+4