document.write( "Question 176857: Can anyone please help me with this problem?
\n" ); document.write( "FInd the value of y:
\n" ); document.write( "3x-2y=-7
\n" ); document.write( "-7x-3y=-22
\n" ); document.write( "

Algebra.Com's Answer #131929 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
x = 1
\n" ); document.write( "y = 5
\n" ); document.write( "here's how:
\n" ); document.write( "3x - 2y = -7
\n" ); document.write( "-7x - 3y = -22
\n" ); document.write( "you want to eliminate either the x or the y so you have one unknown and can solve for that.
\n" ); document.write( "if you mutiply the first equation by 7 and you multiply the second equation by 3 you will get:
\n" ); document.write( "21x - 14y = -49
\n" ); document.write( "-21x - 9y = -66
\n" ); document.write( "if you add these 2 equations together, the x will cancel out and you will be left with:
\n" ); document.write( "-23y = -115
\n" ); document.write( "divide both sides by -23 to get:
\n" ); document.write( "y = -115/-23 = 5
\n" ); document.write( "since y = 5, substitute in either equation to solve for x.
\n" ); document.write( "use 3x - 2y = -7
\n" ); document.write( "this becomes:
\n" ); document.write( "3x - 2*5 = -7
\n" ); document.write( "which becomes:
\n" ); document.write( "3x - 10 = -7
\n" ); document.write( "which becomes:
\n" ); document.write( "3x = 3
\n" ); document.write( "which becomes:
\n" ); document.write( "x = 1
\n" ); document.write( "you have:
\n" ); document.write( "x = 1
\n" ); document.write( "y = 5
\n" ); document.write( "substitute in the other equation to see if these values will hold up.
\n" ); document.write( "take:
\n" ); document.write( "-7x - 3y = -22
\n" ); document.write( "substitute 5 for y and 1 for x:
\n" ); document.write( "-7(1) - 3(5) = -22
\n" ); document.write( "this becomes:
\n" ); document.write( "-7 - 15 = -22
\n" ); document.write( "which becomes:
\n" ); document.write( "-22 = -22
\n" ); document.write( "which means that the value for x and y are good since they solve both equations.
\n" ); document.write( "your answer is:
\n" ); document.write( "x = 1
\n" ); document.write( "y = 5\r
\n" ); document.write( "\n" ); document.write( "
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