Question 119349
2x + 3y = 4
3x + 2y = 6
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Adding these will not help anything. We want the value of x or y in both equations
to be equal, they can have opposite signs, then we can add, or same signs we can subtract
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Lets try to get y to have the same value
Mult equation 1 by 2, and equation 2 by 3:
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4x + 6y = 8
9x + 6y = 18
-----------------subtracting will eliminate y, we can solve for x
-5x + 0y = -10
+5x = +10; multiplied both side by -1 to get rid of the negatives
x = 10/2
x = 5
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Use the 1st original equation to find y. Substitute 5 for x
2(5) + 3y = 4
10 + 3y = 4
3y = 4 - 10
3y = -6
y = -6/3
y = -2
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Use the 2nd original equation to confirm out solutions
3x + 2y = 6
3(5) + 2(-2) =
10 - 4 = 10 confirms our solution
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