document.write( "Question 14183: What is the ordered pair that is the solution to the system of equations:
\n" ); document.write( "
\n" ); document.write( "y = -2/3x
\n" ); document.write( "x + 4y = 15 \n" ); document.write( "

Algebra.Com's Answer #7147 by Alwayscheerful(414) $\"\"$ $\"About$

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you have 2 choices to solve this equation. 1. substitution 2. graphing
\n" ); document.write( "SUBSTITUTION
\n" ); document.write( " $\"y=-2%2F3x\"$
\n" ); document.write( " $\"4y=-x%2B15\"$
\n" ); document.write( "Plug in Y in the second equation
\n" ); document.write( " $\"4%28-2%2F3x%29=-x%2B15\"$
\n" ); document.write( " $\"-8%2F3x%29=-x%2B15\"$
\n" ); document.write( "isolate the X value
\n" ); document.write( " $\"-5%2F3x=15\"$
\n" ); document.write( "solve for x by multiplying both sides by -3/5 (the reciprocol)
\n" ); document.write( " $\"x=15%2A%28-3%2F5%29\"$
\n" ); document.write( " $\"X=-9\"$
\n" ); document.write( "Now plug X back in the original equation.
\n" ); document.write( " $\"y=%28-2%2F3%29%2A-9\"$
\n" ); document.write( " $\"y=6\"$
\n" ); document.write( "your ordered pair would be (-9, 6)
\n" ); document.write( "GRAPHING
\n" ); document.write( "convert both equations into y=mx+b form
\n" ); document.write( "you already have one:
\n" ); document.write( " $\"y=-2x%2F3\"$
\n" ); document.write( "You can convert by making the \"y\" stand by itself
\n" ); document.write( " $\"4y=-x%2B15\"$
\n" ); document.write( "divide both sides by 4
\n" ); document.write( " $\"y=-1x%2F4%2B15%2F4\"$
\n" ); document.write( "Then graph them.
\n" ); document.write( " $\"graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2F3%2C+-1x%2F4%2B15%2F4%29\"$
\n" ); document.write( "Then you can either tell the intersection point on a graph of the two lines, or you can substitute. \n" ); document.write( "

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