document.write( "Question 278973: how do you solve y=3/4x+ 2 and y=-x+8 when looking for the point of intersection
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Algebra.Com's Answer #202926 by checkley77(12844) $\"\"$ $\"About$

You can put this solution on YOUR website!
y=3/4x+2 (red line)
\n" ); document.write( "y=-x+8 (green line)
\n" ); document.write( "SET THE 2 EQUATIONS EQUAL.
\n" ); document.write( "3x/4+2=-x+8
\n" ); document.write( "3x/4+x=8-2
\n" ); document.write( "(3x+4x)/4=6 cross multiply
\n" ); document.write( "7x=24
\n" ); document.write( "x=24/7 ans. for the x intersect value.
\n" ); document.write( "y=-24/7+8
\n" ); document.write( "y=(-24+8*7)/7
\n" ); document.write( "y=(-24+56)/7
\n" ); document.write( "y=32/7 ans. for thre y intersect value.
\n" ); document.write( "SOLUTION: (24/7,32/7)
\n" ); document.write( "Proof:
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%2F4+%2B2%2C+-x+%2B8%29+\"$ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/4 +2 and -x +8). \n" ); document.write( "

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