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If f(x) = 10x + 3, what is the value of x when f(x)=38? x = ◻

If f(x)=10x+3 f(x) = 10x + 3 , what is the value of x x when f(x)=38 f(x) = 38 ?\newlinex=□ x = \square

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Full solution

Q. If f(x)=10x+3 f(x) = 10x + 3 , what is the value of x x when f(x)=38 f(x) = 38 ?\newlinex=□ x = \square
  1. Set up equation: Set up the equation using the given function f(x)=10x+3f(x) = 10x + 3 and the value f(x)=38f(x) = 38.f(x)=10x+3f(x) = 10x + 338=10x+338 = 10x + 3
  2. Subtract to isolate xx: Subtract 33 from both sides of the equation to isolate the term with xx.38−3=10x+3−338 - 3 = 10x + 3 - 335=10x35 = 10x
  3. Divide to solve xx: Divide both sides of the equation by 1010 to solve for xx.3510=10x10\frac{35}{10} = \frac{10x}{10}3.5=x3.5 = x

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