document.write( "Question 124550: Solve each system by substitution I have the first number x = 2 but can not for the life of me get what y equals.\r
\n" ); document.write( "\n" ); document.write( " $\"x+-+y+=+19\"$
\n" ); document.write( " $\"2x+%2B+y+=+-13\"$ \n" ); document.write( "

Algebra.Com's Answer #91279 by iluvbuilding429(41) $\"\"$ $\"About$

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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+19%2C%0D%0A++++2%5Cx+%2B+1%5Cy+=+-13+%29%0D%0A++\"$ We'll use substitution. After moving -1*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+19+-+-1%2Ay\"$ , or $\"x+=+19%2F1+-+-1%2Ay%2F1\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"2%2A%2819%2F1+-+-1%2Ay%2F1%29+%2B+1%5Cy+=+-13\"$ and simplify: So, we know that y=-17. Since $\"x+=+19%2F1+-+-1%2Ay%2F1\"$ , x=2.
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\n" ); document.write( " Answer: $\"system%28+x=2%2C+y=-17+%29\"$ .
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