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Chapter 6: Q18. (page 361)

Use elimination to solve each system of equations.

9x鈭�24y=鈭�63x+4y=10

Short Answer

Expert verified

The required solution is represented by x=2and .y=1

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

9x鈭�24y=鈭�6......13x+4y=10......2

02

Step 2. Make a third equation.

Take equation (2) and perform multiplication between it and 3.

33x+4y=3109x+12y=30......3

03

Step 3. Perform subtraction of equation (3) from the equation (3) to get the value of y after it use the obtained value to get the value of x.

Perform subtraction of equation (1) from the equation (3) to extract the value of y.

9x+12y鈭�9x鈭�24y=30鈭�鈭�69x+12y鈭�9x+24y=30+636y=36y=3636y=1

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

9x鈭�241=鈭�69x鈭�24=鈭�69x=鈭�6+249x=18x=189x=2

04

Step 4. Write the conclusion.

The obtained value of x and y represents the required solution that isx=2 and y=1.

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Most popular questions from this chapter

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

A constant by which you multiply a matrix is called a scalar.

Which ordered pair is the solution of the system of linear equations shown below?

3x鈭�8y=鈭�503x鈭�5y=鈭�38

A (58,32) B (4,鈭�9) C (鈭�27,49) D (鈭�6,4)

Use elimination to solve each system of equations.

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

Sean is trying to find two numbers with a sum of 14 and a difference of 4. Define two variables, write a system of equations, and solve by graphing.

Determine the best method to solve each system of equations. Then solve the system.

y=鈭�xy=2x
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