Question

select all the ordered pairs that are solutions to 3x - y = 1. a. (-2, -7) b. (-1, -4) c. (0, 1) d. (3, 8) e. (4, 2)

Explanation:

Step1: Check Option A

Substitute \( x = -2 \), \( y = -7 \) into \( 3x - y \):
\( 3(-2) - (-7) = -6 + 7 = 1 \). So it satisfies the equation.

Step2: Check Option B

Substitute \( x = -1 \), \( y = -4 \) into \( 3x - y \):
\( 3(-1) - (-4) = -3 + 4 = 1 \). So it satisfies the equation.

Step3: Check Option C

Substitute \( x = 0 \), \( y = 1 \) into \( 3x - y \):
\( 3(0) - 1 = 0 - 1 = -1
eq 1 \). So it does not satisfy the equation.

Step4: Check Option D

Substitute \( x = 3 \), \( y = 8 \) into \( 3x - y \):
\( 3(3) - 8 = 9 - 8 = 1 \). So it satisfies the equation.

Step5: Check Option E

Substitute \( x = 4 \), \( y = 2 \) into \( 3x - y \):
\( 3(4) - 2 = 12 - 2 = 10
eq 1 \). So it does not satisfy the equation.

Answer:

A. \((-2, -7)\), B. \((-1, -4)\), D. \((3, 8)\)