document.write( "Question 969201: Solve and then check the system of equations using addition method. SHOW ALL WORK AND STEPS\r
\n" ); document.write( "\n" ); document.write( "5x-4y=-3
\n" ); document.write( "7y=2x+12 \n" ); document.write( "
Algebra.Com's Answer #592230 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
5x - 4y = -3
\n" ); document.write( "7y = 2x + 12
\n" ); document.write( ";
\n" ); document.write( "put the 2nd equation into the standard form also, subtract 2x from both sides
\n" ); document.write( " 5x - 4y = -3
\n" ); document.write( "-2x + 7y = 12
\n" ); document.write( ":
\n" ); document.write( "We want to get the coefficients of x to be the same.
\n" ); document.write( "multiply the 1st equation by 2, the 2nd equation by 5, so we have
\n" ); document.write( " 10x - 8y = -6
\n" ); document.write( "-10x + 35y = 60
\n" ); document.write( "-----------------adding eliminates x, find y
\n" ); document.write( "0 + 27y = 54
\n" ); document.write( "y = 54/27
\n" ); document.write( "y = 2
\n" ); document.write( ":
\n" ); document.write( "use the 1st original equation to find x; 5x - 4y = -3
\n" ); document.write( "5x - 4(2) = -3
\n" ); document.write( "5x - 8 = -3
\n" ); document.write( "5x = -3 + 8
\n" ); document.write( "5x = 5
\n" ); document.write( "x = 5/5
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm these solutions in the 2nd original equation: 7y = 2x + 12
\n" ); document.write( "7(2) = 2(1)+ 12
\n" ); document.write( "14 = 2 + 12 \n" ); document.write( "
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