document.write( "Question 19761: how do you solve the problem 3(x-2y)=-12(x+2y)? \n" ); document.write( "
Algebra.Com's Answer #9551 by mmm4444bot(95)\"\" \"About 
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Hello There:\r
\n" ); document.write( "\n" ); document.write( "We cannot find numeric values for x and y because we only have one equation.\r
\n" ); document.write( "\n" ); document.write( "When there are two variables, we need two equations.\r
\n" ); document.write( "\n" ); document.write( "If, by chance, you are supposed to solve the equation for y, then you would end up with the slope-intercept form of this linear equation.\r
\n" ); document.write( "\n" ); document.write( "You didn't ask any questions or tell us what you're supposed to do with this equation, so I'll just guess that you're supposed to solve for y.\r
\n" ); document.write( "\n" ); document.write( "3*(x - 2*y) = -12*(x + 2*y)\r
\n" ); document.write( "\n" ); document.write( "Start by using the distributive property to get rid of the parentheses. In other words, both the x and the -2*y get multiplied by 3, and both the x and the 2*y get multiplied by -12.\r
\n" ); document.write( "\n" ); document.write( "3*x - 6*y = -12*x - 24*y\r
\n" ); document.write( "\n" ); document.write( "Combine like terms. Add 24*y to both sides, and subtract 3*x from both sides.\r
\n" ); document.write( "\n" ); document.write( "18*y = -15*x\r
\n" ); document.write( "\n" ); document.write( "Solve for y by dividing both sides by 18.\r
\n" ); document.write( "\n" ); document.write( "y = (-15/18)*x\r
\n" ); document.write( "\n" ); document.write( "y = (-5/6)*x\r
\n" ); document.write( "\n" ); document.write( "The graph of this equation is a straight line passing through the origin. Since the slope is a drop of 5 units for every 6 units moved to the right, the point (6, -5) is also on the graph. Plot these two points, and draw a line through them to get the graph.\r
\n" ); document.write( "\n" ); document.write( "I hope this is the information that you were looking for. Next time, please consider posting some questions or instructions along with your problem.\r
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