document.write( "Question 405800: Solve by substitution:2x-3y=-7 3x+y=-5 \n" ); document.write( "
Algebra.Com's Answer #286563 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"2x-3y=-7\" \r
\n" ); document.write( "\n" ); document.write( "\"3x%2By=-5\"\r
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++2%5Cx+%2B+-3%5Cy+=+-7%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+-5+%29%0D%0A++\"We'll use substitution. After moving -3*y to the right, we get:
\n" ); document.write( " \"2%2Ax+=+-7+-+-3%2Ay\", or \"x+=+-7%2F2+-+-3%2Ay%2F2\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"3%2A%28-7%2F2+-+-3%2Ay%2F2%29+%2B+1%5Cy+=+-5\" and simplify: So, we know that y=1. Since \"x+=+-7%2F2+-+-3%2Ay%2F2\", x=-2.
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\n" ); document.write( " Answer: \"system%28+x=-2%2C+y=1+%29\".
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