Given f(x) = 3/2x - 8, solve for x when f(x)= 7

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Given f(x) = 3/2x - 8, solve for x when f(x)= 7

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Answer:

x is 10 when f(x) = 7

Step-by-step explanation:

f(x) is another way of saying y=. The question is basically asking, what is the value of x when the 3/2x - 8 = 7

So, to do this, you are going replace y with it's numerical value. The numerical value given to you is 7. Now, you are going to solve for x (by isolating x).

7= \frac{3}{2} x-8\\7+8= \frac{3}{2} x-8+8\\15 = \frac{3}{2} x\\15 / \frac{3}{2}  = (\frac{3}{2}x) / 3/2\\10=x

f(10) = 7

Check your work?

Plug in 10 where you see x.

y = 3/2x - 8

y = (3/2)(10)-8

y = 7 ✅

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Dorian Cormier Sr.
15.5k 3 10 26
answered 9 months ago