document.write( "Question 289138: I need help solving these sentences\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9x+8y=14
\n" ); document.write( "-4x+y=12 \n" ); document.write( "

Algebra.Com's Answer #209507 by brucewill(101) $\"\"$ $\"About$

You can put this solution on YOUR website!
9x + 8y = 14
\n" ); document.write( "-4x + y = 12\r
\n" ); document.write( "\n" ); document.write( "First, we need to make one variable subtractable (or addable) from the other. In this case, I choose y. Multiple the second equation by 8:\r
\n" ); document.write( "\n" ); document.write( "9x + 8y = 14
\n" ); document.write( "-32x + 8y = 96\r
\n" ); document.write( "\n" ); document.write( "Now, subtract the second equation from the first:\r
\n" ); document.write( "\n" ); document.write( "41x = -82
\n" ); document.write( " $\"highlight%28x+=+-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Substitute the x = -2 into the first equation:\r
\n" ); document.write( "\n" ); document.write( "9(-2) + 8y = 14
\n" ); document.write( "-18 + 8y = 14
\n" ); document.write( "8y = 32
\n" ); document.write( " $\"highlight%28y+=+4%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Prove the answer, substituting into the original equations:
\n" ); document.write( "-18 + 32 = 14. OK.
\n" ); document.write( "8 + 4 = 12. OK. \n" ); document.write( "

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