Solving Linear Systems by Elimination Answers

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Amelie solves the following system of equations.Which values of x and y satisfy this system of equations?

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A
x = 0, y = 20
B
x = 5, y = 15
C
x = 10, y = 0
D
x = 15, y = 5
2
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Which statement correctly explains how Kasi could find a solution to the following system of linear equations using elimination?

Question illustration
A
She can multiply the bottom equation by –4 and then add the equations to solve for h.
B
She can multiply the bottom equation by 4 and then add the equations to solve for h.
C
She can add 17 to both sides of both equations to set –4g – 15h equal to zero.
D
She can subtract 13 from both sides of both equations to set –g + 5h equal to zero.
3

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

Question illustration
A
(–4, –1)
B
(11, -16)
C
(–1, –4)
D
(-16, 11)
4

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
5

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)
6

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.
7

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

Question illustration
A
(–1, 0)
B
(0, –1)
C
(1, –2)
D
(1, 4)
8

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
9

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

Question illustration
A
(1, 7)
B
(3, 1)
C
(11, –23)
D
(23, –11)
10

Which could be the resulting equation when elimination is used to solve the given system of equations?

Question illustration
A
10a = 60
B
10b = 60
C
–10a = 60
D
–10b = 60

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