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Chapter 6: Q13. (page 393)

Use elimination to solve each system of equations.

2x+6y=183x+2y=13

Short Answer

Expert verified

The solution of the given system of equations is (3,2).

Step by step solution

01

Step 1. Write the given system of equations.

The given system of equations is:

2x+6y=18......(1)3x+2y=13......(2)

02

Step 2. Solve the given system of equations.

Multiply the both sides of the equation (2) by 3.

(3x+2y)脳3=13脳39x+6y=39(3)

Subtract the equation (3) from equation (1) to eliminate the variable y.

2x+6y=189x+6y=39鈭�鈭�鈭�炉鈭�7x=鈭�21x=鈭�21鈭�7x=3

The value ofx is 3.

Substitute 3 forx in the equation (1) to find the value of y.

2x+6y=182(3)+6y=186+6y=186y=18鈭�66y=12y=126y=2

The value ofy is 2.

Therefore, the solution of the given system of equations is (3,2).

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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.

Use elimination to solve each system of equations.

8x鈭�3y=鈭�353x+4y=33

Which of the following terms best describe the system of equations shown in the graph?

A consistent

B consistent and dependent

C consistent and independent

D inconsistent

The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are\(4 and student tickets are\)1. A total of 285 tickets are sold for$765. How many of each type of ticket are sold?.

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G 120 adult, 165 student

H 180 adult, 105 student

J 160 adult, 125 student

Use elimination to solve each system of equations.

鈭�7x+3y=122x鈭�8y=鈭�32
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