Download 7.3 Solving Systems with Elimination.notebook

7.3 Solving Systems with Elimination.notebook
December 02, 2015
Bellwork
Solve the systems of equations by
using the substitution method.
x = -4y + 6
2x - 4y = 24
7.3 Solving Systems with Elimination
Objectives:
TSW: 1. Solve systems of equations by using the elimination method.
(10, -1)
Jan 24­2:06 PM
Nov 26­9:35 AM
Elimination Steps
1.
1. Make sure variables line up
vertically.
2. Check for opposites. If no
opposites, use multiplication
to make opposites.
3. Add equations straight down and
solve.
4. Plug in solution to either equation.
5. Write as an ordered pair (x,y)
(2,1)
Jan 10­8:27 AM
2.
{
{
2x + 4y = 8
3x - 4y = 2
Jan 10­8:27 AM
3.
4x + 6y = 32
3x - 6y = 3
{ xx -+ 3y6y == 33
(3,0)
(5,2)
Jan 10­8:27 AM
Jan 10­8:27 AM
1
7.3 Solving Systems with Elimination.notebook
4.
{
December 02, 2015
Dominic bought hamburgers and hot dogs for
his soccer team. Hot dogs are $2.25 per
package and hamburgers are $6.00 per
package. He bought 11 packages and spent
$51.00. How many of each did he buy?
3x + 4y = 1
5x + 2y = -3
System of Equations:
(-1, 1)
Jan 10­8:27 AM
Jan 10­8:27 AM
System of Equations:
Assignment
2.25x + 6y = 51
x + y = 11
7.3 Worksheet
(4,7)
Jan 10­8:27 AM
Dec 1­5:05 PM
2