document.write( "Question 515775: Can you solve these problems by substitution?\r
\n" ); document.write( "\n" ); document.write( "1.)
\n" ); document.write( "x + 2y = -1
\n" ); document.write( "4x - 5y = 22\r
\n" ); document.write( "\n" ); document.write( "2.)
\n" ); document.write( "-3x + 7y = 14
\n" ); document.write( "2x - y = -13
\n" ); document.write( "

Algebra.Com's Answer #344165 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1.)
\n" ); document.write( "x + 2y = -1............(1)
\n" ); document.write( "4x - 5y = 22...........(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply (1) by -4 and add to (2)\r
\n" ); document.write( "\n" ); document.write( "-4x-8y=4
\n" ); document.write( "4x-5y=22
\n" ); document.write( "-13y=26
\n" ); document.write( "-13y/-13=26/-13
\n" ); document.write( "y=-2
\n" ); document.write( "Put the value of y in (1)
\n" ); document.write( "x+2y=-1
\n" ); document.write( "x+2(-2)=-1
\n" ); document.write( "x-4=-1
\n" ); document.write( "x=-1+4
\n" ); document.write( "x=3\r
\n" ); document.write( "\n" ); document.write( "x,y = 3, -2\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "Put the values of x and y in (1)
\n" ); document.write( "x + 2y = -1............(1)
\n" ); document.write( "3+2(-2)=-1
\n" ); document.write( "3-4=-1
\n" ); document.write( "-1=-1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.)
\n" ); document.write( "-3x + 7y = 14 ..........(1)
\n" ); document.write( "2x - y = -13...........(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply (2) by 7 and add to (2)
\n" ); document.write( "-3x + 7y = 14
\n" ); document.write( "14x - 7y = -91
\n" ); document.write( "--------------
\n" ); document.write( "11x=-77
\n" ); document.write( "11x/11=-77/11
\n" ); document.write( "x=-7\r
\n" ); document.write( "\n" ); document.write( "Put the value of x in (2)
\n" ); document.write( "2x - y = -13...........(2)
\n" ); document.write( "2(-7)-y=-13
\n" ); document.write( "-14-y=-13
\n" ); document.write( "-y=-13+14
\n" ); document.write( "-y=1
\n" ); document.write( "y=-1\r
\n" ); document.write( "\n" ); document.write( "x,y=-7,-1\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "Put the values of x and y in (2)
\n" ); document.write( "2(-7) - (-1) = -13
\n" ); document.write( "-14 + 1 = -13
\n" ); document.write( "-13=-13\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );