SOLUTION: Using solving by elimination, what are the possible numbers you could multiply the following system by to eliminate a variable? {2x-3y=5 } {-3x+7y=12}

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Question 1082404: Using solving by elimination, what are the possible numbers you could multiply the following system by to eliminate a variable?
{2x-3y=5 }
{-3x+7y=12}
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Using solving by elimination, what are the possible numbers you could multiply the following system by to eliminate a variable?
{2x-3y=5 }
{-3x+7y=12}
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One way is to multiply the first equation by 3 and the 2nd equation by 2:
+6x+-+9y+=+15+
+-6x+%2B14y+=+24+
Adding them together eliminates x:
++0x+%2B+5y+=+39+ —> +2x+=+5+%2B+3y+=+25%2F5%2B3%2839%2F5%29+=+142%2F5+ ==> +x+=+71%2F5+
+x=71%2F5+ and +y=39%2F5+
—
Check: +2x+-+3y+=+2%2A%2871%2F5%29+-+3%2839%2F5%29+=+142%2F5+-+117%2F5+=+25%2F5+=+5+ (ok)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Using solving by elimination, what are the possible numbers you could multiply the following system by to eliminate a variable?
{2x-3y=5 }
{-3x+7y=12}