Download Systems of Equations - Elimination with Multiplication.notebook

Systems of Equations ­ Elimination with Multiplication.notebook
February 14, 2017
Solving Systems of Equations by Elimination
Use addition to "eliminate" one variable.
1. Write the equations in column form.
2. If the coefficients of the terms are additive inverses
(10 and -10, 5 and -5), they can be added to eliminate that variable.
3. If the coefficients are not additive inverses, change the sign of
each term to its opposite, then add to eliminate the variable.
3x - 5y = -16
2x + 5y = 31
Systems of Equations ­ Elimination with Multiplication.notebook
5x + 2y = 6
9x + 2y = 22
x - 3y = 7
x + 2y = 2
February 14, 2017
Systems of Equations ­ Elimination with Multiplication.notebook
2a - 3b = -11
a + 3b = 8
3x - 9y = -12
3x - 15y = -6
February 14, 2017
Systems of Equations ­ Elimination with Multiplication.notebook
February 14, 2017
Solving Systems of Equations - Using Multiplication
When the coefficients do not match ...
1. Look at both equations. Find the coefficients that need to be
changed to be additive inverses of each other. You can multiply one
or both equations by different numbers.
2. Distribute the number through the ENTIRE equation.
3. ADD the equations.
Systems of Equations ­ Elimination with Multiplication.notebook
5x - 2y = 4
3x + y = 9
3x - 5y = 13
x - 2y = 5
February 14, 2017
Systems of Equations ­ Elimination with Multiplication.notebook
7x + 2y = -1
3x - 4y = 19
x + 2y = 6
5x + 3y = 2
February 14, 2017
Systems of Equations ­ Elimination with Multiplication.notebook
2x + 3y = 7
3x + 4y = 10
7x - 3y = -5
3x + 2y = 11
February 14, 2017