document.write( "Question 159294: 7. Solve the following system of equations using substitution, elimination, or graphing. Please and Thank you.\r
\n" ); document.write( "\n" ); document.write( "y=2x+6
\n" ); document.write( "2y+3x=5 \n" ); document.write( "

Algebra.Com's Answer #117440 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"y=2x%2B6\"$ ----------------> eqn 1
\n" ); document.write( " $\"2y%2B3x=5\"$ ---------------> eqn 2
\n" ); document.write( "Substitute eqn 1 in eqn 2:
\n" ); document.write( " $\"2%282x%2B6%29%2B3x=5\"$ , distribution
\n" ); document.write( " $\"4x%2B12%2B3x=5\"$
\n" ); document.write( " $\"7x=5-12=-7\"$
\n" ); document.write( " $\"cross%287%29x%2Fcross%287%29=cross%28-7%291%2Fcross%287%29\"$
\n" ); document.write( " $\"x=-1\"$ ,
\n" ); document.write( "For $\"y\"$ via eqn 1:
\n" ); document.write( " $\"y=2%28-1%29%2B6=-2%2B6\"$
\n" ); document.write( " $\"y=4\"$
\n" ); document.write( "Check it out via eqn 2:
\n" ); document.write( " $\"2%284%29%2B3%28-1%29=5\"$
\n" ); document.write( " $\"8-3=5\"$
\n" ); document.write( " $\"5=5\"$
\n" ); document.write( "See graph below:
\n" ); document.write( " -----> see the intersection at point (-1,4). Then our answers are right.\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );