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Chapter 6: Q19. (page 361)

Use elimination to solve each system of equations.

鈭�5x+2y=鈭�115x鈭�7y=1

Short Answer

Expert verified

The required solution is represented by x=3and y=2.

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

鈭�5x+2y=鈭�11......15x鈭�7y=1......2

02

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

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

鈭�5x+2y+5x鈭�7y=鈭�11+1鈭�5x+2y+5x鈭�7y=鈭�102y鈭�7y=鈭�10鈭�5y=鈭�10y=鈭�10鈭�5y=2

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

鈭�5x+2脳2=鈭�11鈭�5x+4=鈭�11鈭�5x=鈭�11鈭�4鈭�5x=-15x=鈭�15鈭�5x=3

03

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that isx=3 and y=2.

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Most popular questions from this chapter

Use elimination to solve each system of equations.

2x+9y=35x+4y=26

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

x鈭�y=1x+y=5

Shelly has \(175to shop for jeans and sweaters. Each pair of jeans cost \)25, each sweater costs $20, and she buys 8 items. Determine the number of pairs of jeans and sweaters Shelly bought.

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

x+2y=63x+6y=8

Perform the indicated matrix operation.

[5鈭�6鈭�94]+[2鈭�3鈭�42]
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