SOLUTION: Please help me with this equation using Elimination Method 2x-3y=6 x+2y=4

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Question 944794: Please help me with this equation using Elimination Method
2x-3y=6
x+2y=4
Found 2 solutions by MathLover1, rothauserc:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2x-3y=6......eq.1
+x%2B2y=4......eq.2....both sides multiply by -2
--------------------------
2x-3y=6......eq.1
-2x-4y=-8......eq.2
---------------------------add both eq.1 and eq.2 to eliminate x
2x-3y-2x-4y=6-8
cross%282x%29-7y-cross%282x%29=-2
-7y=-2...both sides multiply by -1
7y=2
highlight%28y=2%2F7%29

go to 2x-3y=6......eq.1 substitute %282%2F7%29 for y and solve for x
2x-3%282%2F7%29=6
2x-6%2F7=6..both sides multiply by 7
14x-6=42
14x=42%2B6
14x=48
x=48%2F14
highlight%28x=24%2F7%29


Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=6
x+2y=4
add these two equations and we get
3x - y = 10
y = 3x - 10
substitute for y in second equation
x + 2(3x - 10) = 4
x + 6x - 20 = 4
7x = 24
x = 24/7
substitute for x in first equation
2(24/7) -3y = 6
48/7 -3y = 6
48/7 -3y = 42/7
-3y = -6/7
y = 2/7
our answer is x = 24/7, y = 2/7