Download presentation

Presentation is loading. Please wait.

1
**Write a system of equations. Let x represent **

Example 3 Write and solve a linear system SOCCER A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189. Find the cost of a soccer ball and the cost of a soccer ball bag. SOLUTION Write a system of equations. Let x represent the cost of a soccer ball, and let y represent the cost of a soccer ball bag. STEP 1

2
**Equation 1: Purchase by first soccer coach**

Example 3 Write and solve a linear system Equation 1: Purchase by first soccer coach x y • + = Equation 2: Purchase by second soccer coach x y • + =

3
**STEP 2 Multiply Equation 1 by 3 and Equation 2 by 2 **

Example 3 Write and solve a linear system STEP 2 Multiply Equation 1 by 3 and Equation 2 by 2 so that the coefficient of y in each equation is the least common multiple of 3 and 2, or 6. 10x y + = 12x y 30x y 24x y 3 2 STEP 3 Subtract the equations. 6x = STEP 4 Solve for x. x =

4
**STEP 5 Substitute 14.5 for x in either of the original **

Example 3 Write and solve a linear system STEP 5 Substitute 14.5 for x in either of the original equations and solve for y. Write Equation 1. 10x y + = Substitute 14.5 for x. y + = ( ) 14.5 Solve for y. y = ANSWER A soccer ball costs $14.50, and a soccer ball bag costs $5.

5
**10 yd of quilting fabric and 6 yd of sateen**

Guided Practice for Example 3 7. FABRIC Dina makes a quilt that has alternating stripes of quilting fabric and sateen fabric. Quilting fabric costs $4 per yard, and sateen fabric costs $6 per yard. She spends $76 on a total of 16 yards of the two fabrics. Find the amounts of quilting fabric and sateen fabric that Dina purchases. ANSWER 10 yd of quilting fabric and 6 yd of sateen

Similar presentations

OK

Examples and Guided Practice come from the Algebra 1 PowerPoint Presentations available at www.classzone.com.

Examples and Guided Practice come from the Algebra 1 PowerPoint Presentations available at www.classzone.com.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Elements of one act play ppt on apple Ppt on council of ministers saudi Ppt on conservation of environment quotes Ppt on road transportation in india Ppt on conservation of momentum physics Ppt on channels of distribution in japan Ppt on power system stability theory Ppt on index in oracle Ppt on 5 great scientists of india Free ppt on swine flu