SOLUTION: Solve the system of linear equations using the Graphing Method. x+3y=12 2x+y=4

Question 389658: Solve the system of linear equations using the Graphing Method.
x+3y=12
2x+y=4
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
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
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