Solving Linear Systems by Elimination Answers

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How can subtracting the equations help you solve the system?

A
It eliminates the x-terms.
B
It eliminates the y-terms.
C
It eliminates the constant terms.
3

The solution to the system is

Answers:
Blank 1:0
Blank 2:-3
4

).

Answer:

-3

7

Which of the following shows the system with like terms aligned?

Question illustration
A
-4x - 0.4y = -0.8 6x + 0.4y = 4.2
B
-4x + 0.4y = 0.8 6x + 0.4y = 4.2
C
-4x + 0.4y = -0.8 6x + 0.4y = 4.2
D
-4x + 0.4y = -0.8 6x - 0.4y = 4.2
8

The solution to the system is

Question illustration
Answers:
Blank 1:"-2"
Blank 2:-4
9

How could you solve this system using elimination? Check all that apply.

Question illustration
A
Multiply the first equation by 2 and the second equation by 5, then add.
B
Multiply the first equation by 5 and the second equation by 2, then add.
C
Multiply the first equation by 2 and the second equation by 5, then subtract.
D
Multiply the first equation by 5 and the second equation by 2, then subtract.
10

Solve the system to complete the statement.

Answers:
Blank 1:1/12
Blank 2:1/8
12

6x – 2y = 28x + 3y = 14Explain how knowing how to find the least common multiple (LCM) of two numbers can help you solve the system of equations presented here by eliminating the x-terms.

Answer:

The LCM of 6 and 8 is 24. Knowing this, multiply the first equation by 4 and the second by −3 to get opposite coefficients. Then, add the equations to eliminate x.

13

).

Answer:

3

14

).

Answer:

-4

17

Which of the following facts did your explanation include?

A
The LCM of the coefficients of the x-terms, 6 and 8, is 24.
B
Multiply the first equation by 4 and the second equation by –3.
C
Add the equations to eliminate the x-terms.
18

The solution to the system is

Question illustration
Answers:
Blank 1:"0.5"
Blank 2:3
19

The solution to the system is

Question illustration
Answers:
Blank 1:"0"
Blank 2:-3

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