Solving Linear Systems by Elimination Answers

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Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What is the value of x in the solution to the system of equations?

A
mc020-1.jpg
Option A
B
9
C
10
D
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Option D
2
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Which ordered pair (a, b) is the solution to the given system?

Question illustration
A
(1, 3)
B
(3, 1)
C
mc004-2.jpg
Option C
D
mc004-3.jpg
Option D
3

Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination?

Question illustration
A
Multiply the first equation by 7 and the second equation by 2, and then add.
B
Multiply the first equation by 3 and the second equation by 5, and then subtract.
C
Multiply the first equation by –7 and the second equation by 2, and then add.
D
Multiply the first equation by –3 and the second equation by -5, and then subtract.
4

Veda solves the following system of linear equations by elimination. What is the value of x in the solution of the system of equations?

Question illustration
A
–20
B
–1
C
1
D
20
5

André solves the following system of equations by elimination. Which could be the resulting equations when André eliminates one of the variables?

Question illustration
A
12b = 0
B
6a = 0
C
–6a = 0
D
–12b = –24
6

Ashur solves the following system of linear equations.Which statement is true about the solution to this system of equations?

Question illustration
A
The values of a and b are both equal to –4.
B
The values of a and b are both equal to 4.
C
The value of a is equal to 4, and b is equal to –4.
D
The value of a is equal to –4, and b is equal to 4.
7

Which ordered pair (a, b) is a solution to the given system of linear equations?

Question illustration
A
(–13,–4)
B
(–13, 4)
C
(–4, –13)
D
(–4, 13)
8

Which ordered pair (p, r) is the solution to the given system of linear equations?

Question illustration
A
(–1, –2)
B
(–2, –1)
C
mc017-2.jpg
Option C
D
mc017-3.jpg
Option D
9

Which ordered pair (x, y) is a solution to given system of linear equations?

Question illustration
A
(–2, 1)
B
(–0.5, 0.5)
C
(0.5, –0.5)
D
(1, –2)
10

Zina solves a system of linear equations by elimination and finds that the solution to a system is (2, 2). One of the equations is a + b = 4. Which answer could be the other equation?

A
a + 3b = 4
B
2a + 2b = 2
C
4a + 4b = 8
D
a + 3b = 8

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