Question

0.09x - 0.01y = 0.39

Options:
A) x = 5, y = 1
B) x = 3, y = 7
C) x = 10, y = 2
D) x = 1, y = 4

Answer 1

None of the provided options A, B, C, or D satisfies the linear equation 0.09x - 0.01y = 0.39. Upon substituting the given values for x and y into the equation, none of the options yields the correct result of 0.39.

Step-by-step explanation:

The student is asking us to solve a linear equation and to determine which pair of values for x and y satisfies the given equation: 0.09x - 0.01y = 0.39. To find out which of the options is correct, we need to substitute the given values for x and y into the equation and see if it holds true. Here is the check for each option:

• Option A: x = 5, y = 1. Substituting these values we get 0.09(5) - 0.01(1) = 0.45 - 0.01 = 0.44, which does not equal 0.39, so this is not the correct solution.
• Option B: x = 3, y = 7. Substituting these values we get 0.09(3) - 0.01(7) = 0.27 - 0.07 = 0.20, which does not equal 0.39, so this is not the correct solution either.
• Option C: x = 10, y = 2. Substituting these values we get 0.09(10) - 0.01(2) = 0.90 - 0.02 = 0.88, so this also is not the correct solution.
• Option D: x = 1, y = 4. Substituting these values we get 0.09(1) - 0.01(4) = 0.09 - 0.04 = 0.05, which does not equal 0.39, thus, this is not the correct solution.

After checking all options, we conclude none of them satisfies the given linear equation. Therefore, there may be an error in the problem or in the provided options.