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

Question 389657: Solve the system of linear equations using the Substitution Method.
x+3y=2
-2x-4y=2

Found 2 solutions by rfer, haileytucki:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
x=-3y+2
-2x-4y=2
-2(-3y+2)-4y=2
6y-4-4y=2
2y=6
y=3
------------------
-2x-4*3+2
-2x=14
x=-7
--------------
-7+3*3=2
2=2
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
x+3y=2_-2x-4y=2
Since 3y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3y from both sides.
x=-3y+2_-2x-4y=2
Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is -3y+2.
x=-3y+2_-2(-3y+2)-4y=2
Multiply -2 by each term inside the parentheses.
x=-3y+2_6y-4-4y=2
Since 6y and -4y are like terms, add -4y to 6y to get 2y.
x=-3y+2_2y-4=2
Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides.
x=-3y+2_2y=4+2
Add 2 to 4 to get 6.
x=-3y+2_2y=6
Divide each term in the equation by 2.
x=-3y+2_(2y)/(2)=(6)/(2)
Simplify the left-hand side of the equation by canceling the common factors.
x=-3y+2_y=(6)/(2)
Simplify the right-hand side of the equation by simplifying each term.
x=-3y+2_y=3
Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3.
x=-3(3)+2_y=3
Multiply -3 by each term inside the parentheses.
x=-9+2_y=3
Add 2 to -9 to get -7.
x=-7_y=3
This is the solution to the system of equations.
x=-7_y=3
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