document.write( "Question 458794: how do you find the y-coordinate of the point of intersection for the two lines below?\r
\n" ); document.write( "\n" ); document.write( "-6x+7y=20
\n" ); document.write( "2x-3y=4\r
\n" ); document.write( "\n" ); document.write( "how do you find the x-coordinate of the point of intersection for the two lines below?\r
\n" ); document.write( "\n" ); document.write( "x-2y=-2
\n" ); document.write( "y=-6x+40
\n" ); document.write( "

Algebra.Com's Answer #314721 by amoresroy(361)\"\" \"About 
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how do you find the y-coordinate of the point of intersection for the two lines below?\r
\n" ); document.write( "\n" ); document.write( "-6x+7y=20
\n" ); document.write( "2x-3y=4\r
\n" ); document.write( "\n" ); document.write( "Multiply the 2nd equation by 3 to get
\n" ); document.write( "6x-9y=12\r
\n" ); document.write( "\n" ); document.write( "Add the 2 equations to eliminate x
\n" ); document.write( "7y-9y=32
\n" ); document.write( "-2y = 32
\n" ); document.write( "y = -16\r
\n" ); document.write( "\n" ); document.write( "The y-coordinate is -16
\n" ); document.write( "----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "how do you find the x-coordinate of the point of intersection for the two lines below?\r
\n" ); document.write( "\n" ); document.write( "x-2y=-2
\n" ); document.write( "y=-6x+40
\n" ); document.write( "Rearrange 2nd equation to get
\n" ); document.write( "6x+y=40\r
\n" ); document.write( "\n" ); document.write( "Multiply the 1st equation by 6 to get
\n" ); document.write( "6x-12y=-12\r
\n" ); document.write( "\n" ); document.write( "Subtract above equation from 2nd equation
\n" ); document.write( "(6x-6x)+(y- -12y) = 40 - -12
\n" ); document.write( "13y = 52
\n" ); document.write( "y = 4
\n" ); document.write( " Substitute y =4 in 1st equation to solve for x
\n" ); document.write( "x-2(4) = -2
\n" ); document.write( "x = 6\r
\n" ); document.write( "\n" ); document.write( "The x-coordinate of the point of intersection for the two lines is 6.
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