AnswersEAP-Algebra Functions and Data Analysis A CRSolving Linear Systems by Substitution

Solving Linear Systems by Substitution Answers

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1
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What is the solution to the following system of equations?

Question illustration
A
(–2, 7)
B
(2, 3)
C
(3, 2)
D
(7, –2)
2
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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.
3

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).
4

What is the solution to the system of equations?

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

Which equation shows the result of substituting and expression for y from the first equation into the second equation for the given system?

Question illustration
A
(5 – x) – 2x = 2
B
(x + 5) – 2x = 2
C
(x + 5) + 2x = 2
D
(x + 5) – 2x = 0
6

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.
7

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).
8

What is the solution to the system of equations?

Question illustration
A
(4, 7)
B
(7, 4)
C
(12, 5)
D
(5, 12)
9

Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60. Package B contains 8 birthday cards and 6 thank-you notes and costs $26.60. If x represents the cost of a birthday card and y represents the cost of a thank-you note, how much does each birthday card cost?

Question illustration
A
$1.33
B
$1.50
C
$2.20
D
$3.10
10

What is the solution to the following system of equations?

Question illustration
A
Option
Option A
B
Option
Option B
C
(1, –5)
D
(2, 1)

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