document.write( "Question 62278This question is from textbook
\n" ); document.write( ": hello\r
\n" ); document.write( "\n" ); document.write( "how do i sove each system by the addition method:\r
\n" ); document.write( "\n" ); document.write( "3x + 2y = 3
\n" ); document.write( "4x - 3y = -13\r
\n" ); document.write( "\n" ); document.write( "thank you. \n" ); document.write( "
Algebra.Com's Answer #43045 by funmath(2933)\"\" \"About 
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how do i sove each system by the addition method:\r
\n" ); document.write( "\n" ); document.write( "E1: 3x + 2y = 3
\n" ); document.write( "E2: 4x - 3y = -13
\n" ); document.write( "Multiply E1 by 3 and E2 by 2. Add E1+E2 and the y's are eliminated, enabling you to solve for x.
\n" ); document.write( "3(3x+2y)=3(3) ---> 9x+6y=9
\n" ); document.write( "2(4x-3y)=2(-13) --->8x-6y=-26
\n" ); document.write( ":
\n" ); document.write( "9x+6y=9
\n" ); document.write( "8x-6y=-26
\n" ); document.write( "___________
\n" ); document.write( "17x+0=-17
\n" ); document.write( "17x=-17
\n" ); document.write( "17x/17=-17/17
\n" ); document.write( "x=-1
\n" ); document.write( "Substitute x=-1 into either E1 or E2 and solve for y.
\n" ); document.write( "3(-1)+2y=3
\n" ); document.write( "-3+2y=3
\n" ); document.write( "3-3+2y=3+3
\n" ); document.write( "2y=6
\n" ); document.write( "2y/2=6/2
\n" ); document.write( "y=3
\n" ); document.write( "The soltuion is (-1,3)
\n" ); document.write( ":
\n" ); document.write( "To check let x=-1 and y=3 in Both E1 and E2 to see if the equations balance.
\n" ); document.write( "E1: 3(-1)+2(3)=3--->-3+6=3 ---> 3=3 E1 checks.
\n" ); document.write( "E2: 4(-1)-3(3)=-13 --> -4-9=-13 --> -13=-13 E2 checks also. We're right!
\n" ); document.write( "Happy Calculating!!!
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