document.write( "Question 137536: Please help me solve this problem.
\n" ); document.write( "3.) Solve the system by addition.
\n" ); document.write( " x+2y=12
\n" ); document.write( " 4x+3y=18
\n" ); document.write( "

Algebra.Com's Answer #100632 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this problem.
\n" ); document.write( "3.) Solve the system by addition.
\n" ); document.write( ":
\n" ); document.write( " x + 2y = 12
\n" ); document.write( "4x + 3y = 18
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by -4 and add to the second equation:
\n" ); document.write( "-4x - 8y = -48
\n" ); document.write( "+4x + 3y = 18
\n" ); document.write( "-----------------addition will eliminate x, solve for y
\n" ); document.write( "0x - 5y = -30
\n" ); document.write( "y = \"%28-30%29%2F%28-5%29\"
\n" ); document.write( "y = +6
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find x; substitute 6 for y:
\n" ); document.write( "x + 2(6) = 12
\n" ); document.write( "x + 12 = 12
\n" ); document.write( "x = 12 - 12
\n" ); document.write( "x = 0
\n" ); document.write( ":
\n" ); document.write( "Check solutions by substitution in the 2nd equation:
\n" ); document.write( "4(0) + 3(6) = 18; confirms our solutions
\n" ); document.write( "
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