Which ordered pairs are solutions to 6x-y=2

Question

? Select ALL that apply.

A
(−3,−19)\left(-3,-19\right)(−3,−19)

B
(1,8)\left(1,8\right)(1,8)

C
(0,−2)\left(0,-2\right)(0,−2)

D
(−1,−8)\left(-1,-8\right)(−1,−8)

E
(3,20)\left(3,20\right)(3,20)

Answer 1

To determine which ordered pairs are solutions to the equation \(6x - y = 2\), we need to plug in each pair \((x, y)\) into the equation and see if it holds true.

1. For the pair \((-3, -19)\): \[ 6(-3) - (-19) = -18 + 19 = 1 \quad (\text{not a solution}) \]

2. For the pair \((1, 8)\): \[ 6(1) - 8 = 6 - 8 = -2 \quad (\text{not a solution}) \]

3. For the pair \((0, -2)\): \[ 6(0) - (-2) = 0 + 2 = 2 \quad (\text{a solution}) \]

4. For the pair \((-1, -8)\): \[ 6(-1) - (-8) = -6 + 8 = 2 \quad (\text{a solution}) \]

5. For the pair \((3, 20)\): \[ 6(3) - 20 = 18 - 20 = -2 \quad (\text{not a solution}) \]

The ordered pairs that are solutions to the equation \(6x - y = 2\) are:

• (0, -2)
• (-1, -8)

Thus, the correct answers are:

C \((0, -2)\) and D \((-1, -8)\).