document.write( "Question 564462: Please solve the following system of linear equations with substitution.
\n" ); document.write( "3x-2=y
\n" ); document.write( "y-2x=-5
\n" ); document.write( "

Algebra.Com's Answer #365386 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
3x - 2 = y
\n" ); document.write( "y - 2x =-5
\n" ); document.write( "From the 1st equation we know that y = 3x - 2, therefore we can replace y with (3x-2) in the 2nd equation
\n" ); document.write( "(3x-2) - 2x = -5
\n" ); document.write( "3x - 2x = -5 + 2
\n" ); document.write( "x = -3
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "y = 3x - 2
\n" ); document.write( "we know x=-3
\n" ); document.write( "y = 3(-3) - 2
\n" ); document.write( "y = -9 - 2
\n" ); document.write( "y = -11
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check our solutions of x=-3, y=-11 in the 2nd equation
\n" ); document.write( "y - 2x = -5
\n" ); document.write( "replace x with -3, y with -11
\n" ); document.write( "-11 - 2(-3) = -5
\n" ); document.write( "minus a minus is a plus so we have
\n" ); document.write( "-11 + 6 = -5; which is true so our solution check out
\n" ); document.write( "
\n" );