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Chapter 9: Q91. (page 535)

Use elimination to solve each system of equations.

2x鈭�3y=25x+4y=28

Short Answer

Expert verified

The solution of the given system of equations is 4,2.

Step by step solution

01

Step 1. Multiply.

Multiply each side2x鈭�3y=2 by 5.

52x鈭�3y=5210x鈭�15y=10

02

Step 2. Multiply.

Multiply each side 5x+4y=28by 2.

25x+4y=22810x+8y=56

03

Step 3. Subtract.

Subtract 10x鈭�15y=10from 10x+8y=56. Simplify to obtain the value of y.

10x+8y鈭�10x鈭�15y=56鈭�1023y=4623y23=4623y=2

04

Step 4. Substitute.

Substitute 2 for y into 2x鈭�3y=2and simplify.

2x鈭�32=22x鈭�6+6=2+62x2=82x=4

Therefore, the solution of the given system of equations is 4,2.

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Most popular questions from this chapter

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

5t2鈭�12t+25

Graph each function. Find the y-intercept, and state the domain and range.

y=3x+2

Lynne invested \(500 into an account with a 6.5% interest rate compounded monthly. How much will Lynne鈥檚 investment be worth in 10 years?

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G \(938.57

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J $957.02

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gx=x2鈭�6

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y2鈭�8y+16=36
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