You can put this solution on YOUR website! Determine the point of intersection of the lines:
x + 2y = 5
2x - 3y = -4
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2x + 4y = 10 1st eqn times 2
2x - 3y = -4
--------------- Subtract
7y = 14
y = 2
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x + 2y = 5
x = 1
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--> (1,2)