Solving a System of Equations Using Substitution
_Here we have a system of two equations. Let's solve them to find a solution point that works for both using the substitution method. Using substitution, we take what y equals in the first equation and substitute it in for the y in the second equation.
Next we simplify by distributing the 2 and getting rid of the parentheses. Subtract 3x from both sides. Add two to both sides. Divide by 7. We get an answer for x. Take the answer for x and substitute it in for x in the first equation. Simplify and we get an answer for y. Thus the solution for this system of equations is the point (2, 9). |
This website will walk you through solving another system by substitution: http://mbaker.columbiastate.edu/AlgebraTips_pages/Solving%20Systems%20of%20Equations%20by%20Substitution.htm.
_If the video above is not working, you need to download the Adobe Flash player.
PRACTICE
Try these problems and check your answers with the work shown: http://www.algebra-class.com/solving-systems-using-substitution.html
ASSESS
Try this online assessment and post your score below: http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-860390-0&chapter=7&lesson=2&headerFile=6&state=na
Next move on to Solving Systems by Elimination.
PRACTICE
Try these problems and check your answers with the work shown: http://www.algebra-class.com/solving-systems-using-substitution.html
ASSESS
Try this online assessment and post your score below: http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-860390-0&chapter=7&lesson=2&headerFile=6&state=na
Next move on to Solving Systems by Elimination.