document.write( "Question 663934: Solve system of equations by the addition method
\n" ); document.write( "5x=2+7y
\n" ); document.write( "3x+4y=34 \n" ); document.write( "
Algebra.Com's Answer #413063 by ReadingBoosters(3246)\"\" \"About 
You can put this solution on YOUR website!
Starting with
\n" ); document.write( "5x=2+7y; rearrange as 5x-7y=2
\n" ); document.write( "3x+4y=34
\n" ); document.write( "Multiply the first equation by 3 and the second equation by -5 to solve for y.
\n" ); document.write( "3(5x-7y=2)
\n" ); document.write( "-5(3x+4y=34)
\n" ); document.write( "to get
\n" ); document.write( "15x - 21y = 6
\n" ); document.write( "-15x - 20y = -170
\n" ); document.write( "Add the equations
\n" ); document.write( "15x + -15x - 21y + - 20y = 6 + -170
\n" ); document.write( "Combine like terms
\n" ); document.write( "-41y = -164
\n" ); document.write( "Divide by -41
\n" ); document.write( "y = 4
\n" ); document.write( "...
\n" ); document.write( "Starting with
\n" ); document.write( "5x-7y=2
\n" ); document.write( "3x+4y=34
\n" ); document.write( "Multiply the first equation by 4 and the second equation by 7 to solve for x.
\n" ); document.write( "4(5x-7y=2)
\n" ); document.write( "7(3x+4y=34)
\n" ); document.write( "to get
\n" ); document.write( "20x - 28y = 8
\n" ); document.write( "21x + 28y = 238
\n" ); document.write( "Add the equations
\n" ); document.write( "20x + 21x - 28y + 28y = 8 + 238
\n" ); document.write( "41x = 246
\n" ); document.write( "x = 6
\n" ); document.write( "...
\n" ); document.write( "Check
\n" ); document.write( "5(6)=30; 2+7(4)=30
\n" ); document.write( "3(6)+4(4)=34
\n" ); document.write( "..........................
\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
\n" ); document.write( "Wanting for others what we want for ourselves
\n" ); document.write( "www.MyHomeworkAnswers.com \n" ); document.write( "
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