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Chapter 6: Q8. (page 393)

Use elimination to solve the system.

6x鈭�4y=6鈭�6x+3y=0

A (5,6)

B(鈭�3,鈭�6)

C(1,0)

D(4,鈭�8)

Short Answer

Expert verified

The solution of the given system of equations is (鈭�3,鈭�6). Therefore, the option B is correct.

Step by step solution

01

Step 1. Write the given system of equations.

The given system of equations is:

6x鈭�4y=6...(1)鈭�6x+3y=0....(2)

02

Step 2. Solve the given system of equations.

Add the equations (1) and (2) to eliminate the variable x.

6x鈭�4y=6鈭�6x+3y=0鈭�y=6炉y=鈭�6

The valuey of is -6.

Substitute-6 fory in the equation (1) to find the value of x.

6x鈭�4y=66x鈭�4(鈭�6)=66x+24=66x=6鈭�246x=鈭�18x=鈭�186x=鈭�3

The value ofx is -3.

Therefore, the solution of the given system of equations is (鈭�3,鈭�6).

Therefore, the option Bis correct.

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Most popular questions from this chapter

Use substitution method to solve the system of equations below. y=4x鈭�73x鈭�2y=鈭�1

F (3,5) G (4,鈭�1) H (5,鈭�2) J (鈭�6,2)

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

y=x鈭�8y=鈭�3x

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

6x+5y=9鈭�2x+4y=14

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

3x+y=56x=10鈭�2y

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

3x+2y=鈭�45x+2y=鈭�8
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