# 5-2 Solving Systems By Substitution

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| By Albert Melchor
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Albert Melchor
Community Contributor
Quizzes Created: 17 | Total Attempts: 12,609
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Algebraic equations are not so hard to solve. When solving algebraic equations the substitution method is one the most commonly used and easiest methods when compared to the others. Test your knowledge of the substitution method by answering the questions below in preparation for your continuous assessment test. All the best as you tackle them.

• 1.

• A.

(3, 8)

• B.

(2, 3)

• C.

(─4, 4)

• D.

Not here

C. (─4, 4)
• 2.

### #8, p. 340

• A.

(─1, 2)

• B.

(─5, ─2)

• C.

(2, 8)

• D.

Not here

A. (─1, 2)
Explanation
The answer (─1, 2) is the only set of coordinates that is listed in the given options. The other options, (─5, ─2) and (2, 8), are not mentioned in the given list. Therefore, the correct answer is (─1, 2).

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• 3.

### #10, p. 340

• A.

(4, 2)

• B.

(8, 0)

• C.

(0, 4)

• D.

Not here

C. (0, 4)
Explanation
The given set of coordinates includes four points: (4, 2), (8, 0), (0, 4), and an unknown point. The answer is (0, 4) because it is the only point provided in the set. The other three points are mentioned in the question but are not the correct answer.

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• 4.

### #2, p. 340

• A.

(4, ─10)

• B.

(─2, 8)

• C.

(18, ─52)

• D.

Not here

C. (18, ─52)
Explanation
The given points are (4, -10), (-2, 8), (18, -52), and "not here". The correct answer is (18, -52). This is because it is the only point that is listed in the options and matches the given coordinates.

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• 5.

### #4, p. 340

• A.

(10, 0)

• B.

(12, 1)

• C.

(14, 2)

• D.

(16, 3)

B. (12, 1)
Explanation
The given set of points represents a relationship between two variables, where the x-values increase by a constant of 2 and the y-values increase by a constant of 1. The answer (12, 1) fits this pattern, as it follows the same relationship as the other points.

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• 6.

### #12, p. 340

• A.

(10, 7)

• B.

(8, 6)

• C.

(6, 5)

• D.

(4, 4)

D. (4, 4)
Explanation
The answer (4, 4) is the correct one because it is the only option where the x-coordinate and y-coordinate are the same. In the other options, the x-coordinate is always greater than the y-coordinate.

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• 7.

### #22, p. 340

• A.

(2, 2.5)

• B.

(5, 1)

• C.

(1, 3)

• D.

(7, 0)

C. (1, 3)
Explanation
The answer (1, 3) is the correct choice because it is the only point that lies above the line y = x. The other points are either on or below the line.

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Nov 16, 2016
Quiz Created by
Albert Melchor

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