Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. To do this by elimination, you add the two equations in the system together. - PowerPoint PPT Presentation

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PPT – Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. To do this by elimination, you add the two equations in the system together. PowerPoint presentation | free to download - id: 78ad61-NzQ3Z



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Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. To do this by elimination, you add the two equations in the system together.

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Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. – PowerPoint PPT presentation

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Title: Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. To do this by elimination, you add the two equations in the system together.


1
Another method for solving systems of equations
is elimination. Like substitution, the goal of
elimination is to get one equation that has only
one variable. To do this by elimination, you add
the two equations in the system together.
2
Solving Systems of Equations by Elimination
Write the answers from Steps 2 and 3 as an
ordered pair, (x, y), and check.
Step 4
3
Example 1 Elimination Using Addition
3x 4y 10
Solve by elimination.
x 4y 2
Write the system so that like terms are aligned.
Add the equations to eliminate the y-terms.
Simplify and solve for x.
4
Example 1 Continued
Write one of the original equations.
Substitute 2 for x.
Write the solution as an ordered pair.
5
Check It Out! Example 2
y 3x 2
Solve by elimination.
2y 3x 14
Write the system so that like terms are aligned.
Add the equations to eliminate the x-terms.
Simplify and solve for y.
6
Check It Out! Example 2 Continued
Write one of the original equations.
Substitute 4 for y.
Write the solution as an ordered pair.
7
When two equations each contain the same term,
you can subtract one equation from the other to
solve the system. To subtract an equation add the
opposite of each term.
8
Example 3 Elimination Using Subtraction
2x y 5
Solve by elimination.
2x 5y 13
2x y 5
Add the opposite of each term in the second
equation.
(2x 5y 13)
Eliminate the x term.
Simplify and solve for y.
9
Example 3 Continued
Write one of the original equations.
Substitute 3 for y.
Simplify and solve for x.
Write the solution as an ordered pair.
10
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11
Check It Out! Example 4
3x 3y 15
Solve by elimination.
2x 3y 5
Add the opposite of each term in the second
equation.
Eliminate the y term.
Simplify and solve for x.
12
Check It Out! Example 4 Continued
Write one of the original equations.
Substitute 4 for x.
Simplify and solve for y.
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