Answer:
The value of x when f(x) equals 6 is 3/5.
Step-by-step explanation:
In order to solve this problem, we shall start by inputting what we know.
Since the problem provides you with the value of f(x), we will input the value in the given equation.
Original Equation: f(x) = 5x + 3
New Equation: 6 = 5x + 3
Now that all known values of variables have been added to the equation, we will begin to solve.
Start by subtracting both sides of the equation by 3. This step is necessary to isolate x in order to find it's value.
6 = 5x + 3
6 - 3 = 5x + 3 - 3
3 = 5x
Next, we shall divide both side of the equation by 5. This step will allow us to isolate x and finally solve its value.
3 = 5x
3/5 = 5x/5
3/5 = x
Thus, the value of x in f(x) = 5x + 3 is 3/5.
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To be sure your answer is correct, insert the values of both f(x) and x into the equation provided and solve like so...
f(x) = 5x + 3
6 = 5(3/5) + 3
6 = 3 + 3
6 = 6 ✅
