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(20850)   (Show Source): You can put this solution on YOUR website!

......eq.1
......eq.2....both sides multiply by
--------------------------
......eq.1
......eq.2
---------------------------add both eq.1 and eq.2 to eliminate


...both sides multiply by



go to ......eq.1 substitute for and solve for

..both sides multiply by







Answer by rothauserc(4718)   (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

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