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Find the input that yields an output of -9 in the equation y = (7/10)x + 7.

a. x = -20
b. x = -10
c. x = -14
d. x = -17

User Mtflud
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7.7k points

1 Answer

7 votes

Final answer:

To solve for x when y = -9 in the equation y = (7/10)x + 7, after calculating, none of the listed options match the correct value of x. The correct x value is approximately -22.857, which is not included in the given choices.

Step-by-step explanation:

To find the input (x) that yields an output (y) of -9 in the equation y = (7/10)x + 7, we substitute -9 for y and solve for x:

-9 = (7/10)x + 7

First, we subtract 7 from both sides:

-9 - 7 = (7/10)x

-16 = (7/10)x

Next, we multiply both sides by 10/7 to isolate x:

(10/7) * (-16) = x

x = -160/7

x = -22.857...

Therefore, none of the given options (a. x = -20, b. x = -10, c. x = -14, d. x = -17) are correct. So there must have been an error, or the correct option isn't provided in the list.

User Jessicardo
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8.6k points

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