document.write( "Question 480158: I need help with solving a linear system of equation by the elmination method.
\n" ); document.write( "Solve the system of equations using addition/subtraction with multiplication method. \r
\n" ); document.write( "\n" ); document.write( "9x+5y=2
\n" ); document.write( "-11x+2y=30\r
\n" ); document.write( "\n" ); document.write( "The answer they give is (-2,4) but I don't get how they got it.\r
\n" ); document.write( "\n" ); document.write( "Can you please explain how to do it? Step by step? Please? Thanks
\n" ); document.write( "

Algebra.Com's Answer #328875 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
9x+5y=2..............(1)
\n" ); document.write( "-11x+2y=30 ..........(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply (1) by -2 and (2) by 5 then add both equations
\n" ); document.write( "-18x-10y=-4
\n" ); document.write( "-55x+10y=150
\n" ); document.write( "--------------------
\n" ); document.write( "-73x=146
\n" ); document.write( "Divide by -73 both sides
\n" ); document.write( "-73x/-73=146/-73
\n" ); document.write( "X=-2
\n" ); document.write( "Now put the value of x in any two equations (1) or (2)
\n" ); document.write( "9x+5y=2
\n" ); document.write( "9(-2)+5y=2
\n" ); document.write( "-18+5y=2
\n" ); document.write( "Add 18 both sides of the above equation
\n" ); document.write( "-18+18+5y=2+18
\n" ); document.write( "5y=20
\n" ); document.write( "Divide by 5 both sides
\n" ); document.write( "5y/5=20/5
\n" ); document.write( "y=4
\n" ); document.write( "(x,y)=(-2,4)
\n" ); document.write( "Check:
\n" ); document.write( "Put the value of x and y in equation (1) and (2)
\n" ); document.write( "9x9x+5y=2
\n" ); document.write( "9(-2)+5(4)=2
\n" ); document.write( "-18+20=2
\n" ); document.write( "2=2
\n" ); document.write( "-11x+2y=30
\n" ); document.write( "-11(-2)+2(4)=30
\n" ); document.write( "22+8=30
\n" ); document.write( "30=30
\n" ); document.write( "
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