AnswersAlgebra IISolving Linear Systems by Elimination

Solving Linear Systems by Elimination — Quiz Answers

10 verified answers
1
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Amelie solves the following system of equations. x plus y is equal to 20 3 x minus 3 y is equal to 30 Which values of x and y satisfy this system of equations?

A
x is equal to 10 comma y is equal to 0
B
x is equal to 5 comma y is equal to 15
C
x is equal to 15 comma y is equal to 5
D
x is equal to 0 comma y is equal to 20
2
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Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination? 2 f minus 5 g is equal to negative 9 negative 7 f plus 3 g is equal to 4

A
Multiply the first equation by negative 7 and the second equation by 2 , and then add.
B
Multiply the first equation by negative 3 and the second equation by negative 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.
3

Tao uses elimination to solve the following system of linear equations. negative 2 x plus 4 y is equal to 16 2 x plus 2 y is equal to 8 Which ordered pair is the solution to the system?

A
open paren 0 comma 8 close paren
B
open paren 0 comma 4 close paren
C
open paren 4 comma 0 close paren
D
open paren 8 comma 0 close paren
5

Which statement correctly explains how Kasi could find a solution to the following system of linear equations using elimination? negative 4 g minus 15 h is equal to negative 17 negative g plus 5 h is equal to 13

A
She can subtract 13 from both sides of both equations to set negative g plus 5 h equal to zero.
B
She can add 17 to both sides of both equations to set negative 4 g minus 15 h equal to zero.
C
She can multiply the bottom equation by negative 4 and then add the equations to solve for h .
D
She can multiply the bottom equation by 4 and then add the equations to solve for h .
7

Which ordered pair open paren A comma b close paren is the solution to the given system of linear equations? 3 A plus b is equal to 10 negative 4 A minus 2 b is equal to 2

A
open paren 3 comma 1 close paren
B
open paren 11 comma negative 23 close paren
C
open paren 1 comma 7 close paren
D
open paren 23 comma negative 11 close paren
8

Which ordered pair open paren A comma b close paren is the solution to the given system? 2 A minus 5 b is equal to 1 3 A plus 5 b is equal to 14

A
open paren 1 comma 3 close paren
B
open paren 3 comma 1 close paren
C
open paren 15 comma 29 fifths close paren
D
open paren 29 fifths comma 15 close paren
9

Which ordered pair open paren m comma n close paren is the solution to the given system of linear equations? 6 m minus 5 n is equal to 14 2 m plus 2 n is equal to negative 10

A
open paren negative 16 comma 11 close paren
B
open paren negative 4 comma negative 1 close paren
C
open paren 11 comma negative 16 close paren
D
open paren negative 1 comma negative 4 close paren
10

Which ordered pair open paren x comma y close paren is the solution to the given system of linear equations? 3 x plus 3 y is equal to negative 3 negative 2 x plus y is equal to 2

A
open paren 1 comma 4 close paren
B
open paren 0 comma negative 1 close paren
C
open paren 1 comma negative 2 close paren
D
open paren negative 1 comma 0 close paren

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