Solving Linear Systems by Substitution Answers

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1
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Which first step for solving the given system using substitution results in an equation without fractions?

Question illustration
A
Solve for x in the first equation.
B
Solve for y in the first equation.
C
Solve for x in the second equation.
D
Solve for y in the second equation.
3

What is the solution to the system of equations?

Question illustration
A
(7, 9)
B
(9, 7)
C
(–5, 11)
D
(11, –5)
4

Which first step for solving the given system using substitution results in an equation without fractions?

Question illustration
A
Solve for x in the first equation.
B
Solve for y in the first equation.
C
Solve for x in the second equation.
D
Solve for y in the second equation.
5

What is the solution to the following system of equations?

Question illustration
A
It has infinitely many solutions.
B
It has no solution.
C
It has one solution (2, –3).
D
It has one solution (4, 0).
7

Which first step for solving the given system using substitution results in an equation without fractions?

Question illustration
A
Solve for x in the first equation.
B
Solve for y in the first equation.
C
Solve for x in the second equation.
D
Solve for y in the second equation.
8

What is the solution to the following system of equations?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
(1, –5)
D
(2, 1)
11

Lucia tried to solve the system below. Lucia’s Work What error did Lucia make?

Question illustration
A
When Lucia solved the second equation for x, she subtracted 2y from both sides.
B
When Lucia solved for the value of y, she treated –2y as 2y.
C
When Lucia solved for the value of x, she added 18 to both sides.
D
When Lucia solved the second equation for x, she treated –2(–9) as 18 instead of –18.
12

What is the solution to the following system of equations?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
(1, –5)
D
(2, 1)
13

Which statement describes the system of equations?

Question illustration
A
It has infinitely many solutions.
B
It has no solution.
C
It has one solution .
Option C
D
It has one solution (8, 2).
14

Mira is playing a game where she is trying to toss a ball into a large basket or a small basket. The large basket is worth 2 points, and the small basket is worth 3 points. Mira made 15 baskets for a total of 35 points. If x represents the number of large baskets made and y represents the number of small baskets made, how many large baskets did she make?

Question illustration
A
2 large baskets
B
5 large baskets
C
7 large baskets
D
10 large baskets
15

Which statement describes the system of equations?

Question illustration
A
It has infinitely many solutions.
B
It has no solution.
C
It has one solution (0, 1).
D
It has one solution (4, –1).
16

What is the solution to the following system of equations?

Question illustration
A
It has infinitely many solutions.
B
It has no solution.
C
It has one solution (2, –3).
D
It has one solution (4, 0).
17

Which first step for solving the given system using substitution results in an equation without fractions?

Question illustration
A
Solve for x in the first equation.
B
Solve for y in the first equation.
C
Solve for x in the second equation.
D
Solve for y in the second equation.
18

Which first step for solving the given system using substitution results in an equation without fractions?

Question illustration
A
Solve for x in the first equation.
B
Solve for y in the first equation.
C
Solve for x in the second equation.
D
Solve for y in the second equation.
19

A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?

A
6 upgraded phones
B
10 upgraded phones
C
15 upgraded phones
D
42 upgraded phones
20

What is the value of x in the solution to the system of linear equations?

Question illustration
A
–7
B
–3
C
1
D
5

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