5-2 Solving Systems By Substitution

1. #8, p. 340

(─1, 2)

(─5, ─2)

(2, 8)

Not here

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).

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).

2. #4, p. 340

(10, 0)

(12, 1)

(14, 2)

(16, 3)

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.

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.

3. #22, p. 340

(2, 2.5)

(5, 1)

(1, 3)

(7, 0)

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.

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.

4. #2, p. 340

(4, ─10)

(─2, 8)

(18, ─52)

Not here

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.

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.

5. #12, p. 340

(10, 7)

(8, 6)

(6, 5)

(4, 4)

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.

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.

6. #6, p. 340

(3, 8)

(2, 3)

(─4, 4)

Not here

not-available-via-ai

Explanation

not-available-via-ai

7. #10, p. 340

(4, 2)

(8, 0)

(0, 4)

Not here

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.

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.