Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 point)

Responses

12.619

12.618

0.699

−11.221

1 answer

To solve for x, we need to isolate the variable by dividing both sides of the equation by the coefficient of x.

Starting with the equation:

102.5(x - 11.92) = 71.6

Divide both sides by 102.5:

(x - 11.92) = 71.6 / 102.5

Simplify the right side:

x - 11.92 = 0.699

Add 11.92 to both sides:

x = 0.699 + 11.92

x = 12.619

Rounding to 3 decimal places gives us:

x ≈ 12.619

So the correct answer is 12.619.
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