Question

Solve the equation: −2x − 10y = 10 D: {−10, −5, 0, 5}

A. x=-10
B. x=-5
C. x=0
D. x=5

Answer 1

To solve the equation -2x - 10y = 10, isolate x by following these steps: add 2x to both sides, simplify the equation, divide both sides by -10, and substitute the given options to find the value of x. The correct answer is x = -5.

Step-by-step explanation:

To solve the equation -2x - 10y = 10 and find the value of x, we need to isolate x on one side of the equation. Here are the steps:

1. Add 2x to both sides of the equation to get rid of the -2x term: -2x - 10y + 2x = 10 + 2x
2. Simplify the equation: -10y = 2x + 10
3. Divide both sides of the equation by -10 to isolate x: (-10y)/(-10) = (2x + 10)/(-10)
4. Simplify the equation further: y = -0.2x - 1
5. Now we have the equation y = -0.2x - 1. To find the possible values of x, we can substitute the given options into the equation:
   (A) x = -10 --> y = -0.2(-10) - 1 = 2 - 1 = 1
   (B) x = -5 --> y = -0.2(-5) - 1 = 1 - 1 = 0
   (C) x = 0 --> y = -0.2(0) - 1 = 0 - 1 = -1
   (D) x = 5 --> y = -0.2(5) - 1 = -1 - 1 = -2
6. Therefore, the correct answer is (B) x = -5.