document.write( "Question 158543: Solve the system by graphing.
\n" );
document.write( "3x-2y=4
\n" );
document.write( "-6x+4y=7 \n" );
document.write( "
Algebra.Com's Answer #116811 by Electrified_Levi(103)![]() ![]() ![]() You can put this solution on YOUR website! Hi, Hope I can help \n" ); document.write( ". \n" ); document.write( "Solve the system by graphing. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Points are given as (x,y), to find points on both of these lines, you just replace \"x\" with any number and solve for \"y\" \n" ); document.write( ". \n" ); document.write( "Lets find some points on the first line \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Lets replace \"x\" with \"2\", \n" ); document.write( ". \n" ); document.write( "We will move (-2y) over to the right side \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "To get \"y\", we will divide each side by \"2\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "\"x\" = 2 \n" ); document.write( "\"y\" = 1 \n" ); document.write( ". \n" ); document.write( "Since points are given as (x,y), this point would be (2,1) \n" ); document.write( ". \n" ); document.write( "(2,1) is a point of the line(We can check by replacing \"x\" with \"2\", \"y\" with \"1\", \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Lets find another point, \n" ); document.write( ". \n" ); document.write( "Lets replace \"x\" with \"0\" \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We can multiply each side by (-1) to get (-2y) positive \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "\"x\" = 0 \n" ); document.write( "\"y\" = (-2) \n" ); document.write( ". \n" ); document.write( "Another point on the line is (0,-2)(x,y)(we can check by replacing \"x\" with \"0\", \"y\" with (-2), \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Another point on the line is (-4,-8), We can check by replacing \"x\" with (-4), \"y\" with (-8), \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Lets draw a line through the points, \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now lets find some points for the second equation, \n" ); document.write( ". \n" ); document.write( "Lets replace \"x\" with \n" ); document.write( ". \n" ); document.write( "\"4y\" has to equal \"4\", so \n" ); document.write( ". \n" ); document.write( "x = \n" ); document.write( "y = 1 \n" ); document.write( ". \n" ); document.write( "One point on the line is ( \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Replace \"x\" with \"4\", \n" ); document.write( ". \n" ); document.write( "\"4y\" will have to equal \"31\", \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "x = 4 \n" ); document.write( "y = \n" ); document.write( ". \n" ); document.write( "The point is (4, \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Another point on the line is ( 0, \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Lets draw a line through the points \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "These lines are parallel, they don't have any points that intersect each other, there is no solution to the system of equations \n" ); document.write( ". \n" ); document.write( "Hope I helped, Levi \n" ); document.write( " |