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Chapter 6: Q16. (page 361)

Use elimination to solve each system of equations.

x+y=9x鈭�y=鈭�3

Short Answer

Expert verified

The required solution is represented by x=3and y=6.

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

x+y=9......1x鈭�y=鈭�3......2

02

Step 2. Perform addition between the provided equations to get the value of x after it use the obtained value to get the value of y.

Perform addition between the equation (1) and equation (2) to extract the value of x.

x+y+x鈭�y=9+鈭�3x+y+x鈭�y=62x=6x=62x=3

Use the obtained value of x into equation (1) to get the value of y.

3+y=9y=9鈭�3y=6

03

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that isx=3 and y=6.

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Most popular questions from this chapter

Solve each equation or formula for the variable specified.

5x鈭�10y=40, for y

Solve each equation or formula for the variable specified.

2x+4y=12, for x

A rental company charges \(9.50per hour for a scooter plus a \)15fee. Write the equation in Slope-intercept form for the total rental cost Cof renting a scooter for hhours.

Angelina needs to buy 12 pieces of candy to take to a meeting. She has\(16. Each chocolate bar costs\)2, and each lollipop costs$1. Determine how many of each she can buy.

A 6 chocolate bars, 6 lollipops

B 4 chocolate bars, 8 lollipops

C 7 chocolate bars, 5 lollipops

D 3 chocolate bars, 9 lollipops

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

2x+y=鈭�45x+3y=鈭�6
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