document.write( "Question 198880: if 4x-3y=11 and -5x+2y=-12, then the solution (x,y) is? \n" ); document.write( "

Algebra.Com's Answer #149429 by pannalal(9) $\"\"$ $\"About$

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Given Equations:
\n" ); document.write( "[1] 4x-3y=11
\n" ); document.write( "[2] -5x+2y=-12\r
\n" ); document.write( "\n" ); document.write( " 4x - 3y = 11 ............(1)
\n" ); document.write( " -5x + 2y = -12 ..........(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply Eq(1) by 2 and Eq(2) by -3:
\n" ); document.write( " 8x - 6y = 22
\n" ); document.write( " 15x - 6y = 36
\n" ); document.write( "Subtracting:
\n" ); document.write( " -7x = -14 ...............(3)\r
\n" ); document.write( "\n" ); document.write( "From Eq(3), we get:
\n" ); document.write( " x = 2 ...................(4)\r
\n" ); document.write( "\n" ); document.write( "On Substituting value of x in Eq(1), we get:
\n" ); document.write( " 4*2 - 3y = 11
\n" ); document.write( " y = -1 ..................(5)\r
\n" ); document.write( "\n" ); document.write( "Summary:
\n" ); document.write( " x = 2
\n" ); document.write( " y = -1 \n" ); document.write( "

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