Question

Find four solutions of the equation −2x−y=−2.

A. {(-9, 10), (6, -10), (-7, 8), (-4, -12)}
B. {(-4, 10), (6, -10), (-7, 16), (7, -12)}
C. {(-4, 10), (7, -10), (-7, 16), (6, -12)}
D. {(-4, 8), (6, -10), (-7, 14), (7, -12)}

Answer 1

To find solutions of the equation -2x-y=-2, substitute different values for x and solve for y. The correct answer is option A.

Step-by-step explanation:

To find the solutions of the equation −2x−y=−2, we need to substitute different values for x and find the corresponding values of y that satisfy the equation. Let's substitute the given values into the equation and check:

• Substituting x = -9, we get -2(-9) - y = -2 --> 18 - y = -2 --> y = 20. Therefore, one solution is (-9, 20).
• Substituting x = 6, we get -2(6) - y = -2 --> -12 - y = -2 --> y = -10. Therefore, another solution is (6, -10).
• Substituting x = -7, we get -2(-7) - y = -2 --> 14 - y = -2 --> y = 16. Therefore, another solution is (-7, 16).
• Substituting x = -4, we get -2(-4) - y = -2 --> 8 - y = -2 --> y = 10. Therefore, the final solution is (-4, 10).

Therefore, the correct answer is option A. {(-9, 20), (6, -10), (-7, 16), (-4, 10)}.