document.write( "Question 124551: Solve each system by the substitution method..I need help can not understand the process.\r
\n" ); document.write( "\n" ); document.write( " $\"+x+%2B+y+=+4\"$
\n" ); document.write( " $\"+x+-+y+=+5\"$ \n" ); document.write( "

Algebra.Com's Answer #91278 by iluvbuilding429(41) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+4%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+5+%29%0D%0A++\"$ We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+4+-+1%2Ay\"$ , or $\"x+=+4%2F1+-+1%2Ay%2F1\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"1%2A%284%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+5\"$ and simplify: So, we know that y=-0.5. Since $\"x+=+4%2F1+-+1%2Ay%2F1\"$ , x=4.5.
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\n" ); document.write( " Answer: $\"system%28+x=4.5%2C+y=-0.5+%29\"$ .
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