SOLUTION: Please help me with the following: Solve by substitution x + y = 12 y = 2x Solve by addition 5x - 3y = 13 4x

SOLUTION: Please help me with the following: Solve by substitution x + y = 12 y = 2x Solve by addition 5x - 3y = 13 4x - 3y = 11

Question 123099: Please help me with the following:
Solve by substitution x + y = 12
y = 2x
Solve by addition 5x - 3y = 13
4x - 3y = 11

Answer by johnnico6426(16) (Show Source): You can put this solution on YOUR website!
Substitution:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=8. Since , x=4.

Answer: .

Addition:
5x - 3y = 13
4x - 3y = 11
Multiply the top part with -4 and the buttom with 5
-20x + 12y = -52
20x - 15y = 55
You add them down
-3y = 3
Solve for y.
y=-1
Subsitute y=3 for the y in either the first and second equation. Solve for x. You should get x=2. The solution should be (2, -1)

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