![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
2y = 3x + 8
\n" ); document.write( "y = 2x + 3
\n" ); document.write( "Many methods for solving a system like this are taught. With the second equation already \"solved for y\", the Substitution Method would be a good choice. The second equation ways that y is equal to 2x+3. We can substitute this expression for y in the other equation:
\n" ); document.write( "2(2x + 3) = 3x + 8
\n" ); document.write( "Note the use of parentheses. It is an extremely good habit to use parentheses when making substitutions. In this case the parentheses help us see that the 2 in front must be distributed:
\n" ); document.write( "4x + 6 = 3x + 8
\n" ); document.write( "Subtracting 3x:
\n" ); document.write( "x + 6 = 8
\n" ); document.write( "Subtracting 6:
\n" ); document.write( "x = 2
\n" ); document.write( "Now we use this value for x and one of the original equations to find the y value:
\n" ); document.write( "2y = 3(2) + 8
\n" ); document.write( "2y = 6 + 8
\n" ); document.write( "2y = 14
\n" ); document.write( "Divide by 2:
\n" ); document.write( "y = 7
\n" ); document.write( "So the solution to this system is the order pair (2, 7) \n" ); document.write( "