Math  /  Algebra

QuestionSubstitute then Solve What is the value of xx in the equation f(x)=5x+3f(x)=5 x+3, if the output is 28? x=x=
I need help! Where do I start?

Studdy Solution

STEP 1

1. The function f(x)=5x+3 f(x) = 5x + 3 is a linear function.
2. We are given that the output of the function is 28, so we need to find the value of x x that satisfies this condition.

STEP 2

1. Set the function equal to the given output.
2. Solve the resulting equation for x x .

STEP 3

Set the function f(x) f(x) equal to the given output, which is 28:
f(x)=5x+3=28 f(x) = 5x + 3 = 28

STEP 4

To solve for x x , first isolate the term involving x x by subtracting 3 from both sides of the equation:
5x+3=28 5x + 3 = 28 5x=283 5x = 28 - 3 5x=25 5x = 25

STEP 5

Now, divide both sides by 5 to solve for x x :
5x=25 5x = 25 x=255 x = \frac{25}{5} x=5 x = 5
The value of x x is:
5 \boxed{5}

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