document.write( "Question 69431: i have to solve the problems using system of equations..
\n" ); document.write( "1.x+y=6 2. 2x-3y=-13
\n" ); document.write( " y=2x y=2x+7
\n" ); document.write( "

Algebra.Com's Answer #49527 by mathick(4)\"\" \"About 
You can put this solution on YOUR website!
Let's start with #1:\r
\n" ); document.write( "\n" ); document.write( "x + y = 6
\n" ); document.write( " y = 2x.
\n" ); document.write( "


\n" ); document.write( "There are a few ways to solve these, but the substitution method is often easiest.
\n" ); document.write( "


\n" ); document.write( "1. Substitute 2x in for y in the 1st equation: x + (2x) = 6.
\n" ); document.write( "(This can be done because the 2nd equation says y and 2x are interchangeable).
\n" ); document.write( "


\n" ); document.write( "2. Simplify: 3x = 6.
\n" ); document.write( "


\n" ); document.write( "3. Solve for x: x = 2.
\n" ); document.write( "


\n" ); document.write( "4. Plug 2 in for x in the 1st equation: 2 + y = 6.
\n" ); document.write( "


\n" ); document.write( "5. Solve for y: y = 4.
\n" ); document.write( "


\n" ); document.write( "6. Final Answer: (2, 4). (x = 2, y = 4).
\n" ); document.write( "

\r
\n" ); document.write( "\n" ); document.write( "That's the substitution method - the next example has a few more steps:
\n" ); document.write( "


\n" ); document.write( "2x-3y=-13
\n" ); document.write( " y=2x+7
\n" ); document.write( "


\n" ); document.write( "1. Substitute 2x + 7 in for y in the 1st equation: 2x - 3(2x + 7) = -13.
\n" ); document.write( "(This can be done because the 2nd equation says y and 2x + 7 are interchangeable).
\n" ); document.write( "


\n" ); document.write( "2. Simplify: -4x - 21 = -13.
\n" ); document.write( "


\n" ); document.write( "3. Solve for x: x = -2.
\n" ); document.write( "


\n" ); document.write( "4. Plug -2 in for x in the 1st equation: 2(-2) - 3y = -13.
\n" ); document.write( "


\n" ); document.write( "5. Solve for y: y = 3.
\n" ); document.write( "


\n" ); document.write( "6. Final Answer: (-2, 3). (x = -2, y = 3).
\n" ); document.write( "
\n" );