document.write( "Question 53285: Will you please solve the system by addition or substitution
\n" ); document.write( "3x-4y=8
\n" ); document.write( "6x-2y=10
\n" ); document.write( "thankyou \n" ); document.write( "
Algebra.Com's Answer #35549 by funmath(2933)\"\" \"About 
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3x-4y=8
\n" ); document.write( "6x-2y=10
\n" ); document.write( "-------------------
\n" ); document.write( "multiply the 1st equation by -2
\n" ); document.write( "-2(3x-4y)=-2(8)
\n" ); document.write( "Now your system is:
\n" ); document.write( "-6x+8y=-16
\n" ); document.write( "6x-2y=10
\n" ); document.write( "---------------------------
\n" ); document.write( "Add the two equations together:
\n" ); document.write( "-6x+8y=-16
\n" ); document.write( "+6x-2y=10
\n" ); document.write( "______________
\n" ); document.write( "0x+6y=-6
\n" ); document.write( "6y=-6
\n" ); document.write( "6y/6=-6/6
\n" ); document.write( "y=-1
\n" ); document.write( "---------------------------
\n" ); document.write( "Substitute y=-1 into the original first equation and solve for x:
\n" ); document.write( "3x-4(-1)=8
\n" ); document.write( "3x+4=8
\n" ); document.write( "3x+4-4=8-4
\n" ); document.write( "3x=4
\n" ); document.write( "3x/3=4/3
\n" ); document.write( "x=4/3
\n" ); document.write( "--------------------------
\n" ); document.write( "So the solution of this system is: (4/3,-1)
\n" ); document.write( "You can substitute these back into both equations and see if it checks.
\n" ); document.write( "3(4/3)-4(-1)=8
\n" ); document.write( "4+4=8
\n" ); document.write( "8=8 looks like we're right.
\n" ); document.write( "6(4/3)-2(-1)=10
\n" ); document.write( "8+2=10
\n" ); document.write( "10=10 we're absolutely right! \n" ); document.write( "
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