document.write( "Question 167608: 7x+3y=4, 5x+9y=10 \n" ); document.write( "

Algebra.Com's Answer #123541 by Mathtut(3670) $\"\"$ $\"About$

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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++7%5Cx+%2B+3%5Cy+=+4%2C%0D%0A++++5%5Cx+%2B+9%5Cy+=+10+%29%0D%0A++\"$ We'll use substitution. After moving 3*y to the right, we get:
\n" ); document.write( " $\"7%2Ax+=+4+-+3%2Ay\"$ , or $\"x+=+4%2F7+-+3%2Ay%2F7\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"5%2A%284%2F7+-+3%2Ay%2F7%29+%2B+9%5Cy+=+10\"$ and simplify: So, we know that y=1.04166666666667. Since $\"x+=+4%2F7+-+3%2Ay%2F7\"$ , x=0.124999999999999.
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\n" ); document.write( " Answer: $\"system%28+x=0.124999999999999%2C+y=1.04166666666667+%29\"$ .
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