document.write( "Question 443115: 7x + 9y = -8 5x - 9y = -52 \n" ); document.write( "

Algebra.Com's Answer #305658 by swincher4391(1107) $\"\"$ $\"About$

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7x + 9y = -8
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++7%5Cx+%2B+9%5Cy+=+-8%2C%0D%0A++++5%5Cx+%2B+-9%5Cy+=+-52+%29%0D%0A++\"$ We'll use substitution. After moving 9*y to the right, we get:
\n" ); document.write( " $\"7%2Ax+=+-8+-+9%2Ay\"$ , or $\"x+=+-8%2F7+-+9%2Ay%2F7\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"5%2A%28-8%2F7+-+9%2Ay%2F7%29+%2B+-9%5Cy+=+-52\"$ and simplify: So, we know that y=3. Since $\"x+=+-8%2F7+-+9%2Ay%2F7\"$ , x=-5.
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\n" ); document.write( " Answer: $\"system%28+x=-5%2C+y=3+%29\"$ .
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