SOLUTION: Could you please help me understand how to work a problem such as x+3=3y and 4x-5=2y+3

Question 535369: Could you please help me understand how to work a problem such as x+3=3y and 4x-5=2y+3
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x + 3 = 3y is in a difficult form.
.
Convert it to Ax + By = C to prepare for solving it as a system of linear equations.
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Subtract 3y from both sides, then subtract 3 from both sides.
x -3y = -3
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Convert the other in a similar way.
4x -5 = 2y + 3
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Add 5 to both sides.
4x = 2y + 8
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Subtract 2y from both sides.
4x -2y = 8
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Now arrange the two converted equations as a system.
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x -3y = -3
4x - 2y = 8
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Multiply the first equation by 4 and then subtract the second from it to remove the 'x' term.
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4x -12y = -12
4x -2y = 8
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-10y = -20
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Divide both sides by -10.
y = -20/-10 = 2
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Substitute y = 2 to find x.
x + 3 = 3y
x + 3 = 6
x = 3
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Substitute these values in the other equation to be sure this is the right answer.
4x -5 = 2y + 3
4(3)-5 = 12-5 = 7
2(2)+3 = 4+3 = 7
Correct.
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Answer: x=3 and y=2.
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Done.
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