Question

Let h(x) = 3x – 7. If h(x) = 0, find x.

Answer 1

$h(x)=3x-7$

And we are given that $h(x)=0$ and want to find the value of x. Set h(x) to 0 and we get the equation:

$3x-7=0$

Add both sides by 7

$3x=7$

Divide both sides by 3

$x=\dfrac{7}{3}$

This is the answer (as an improper fraction). Let me know if you need any clarifications, thanks!

Answer 2

$\text{Plug in 0 to h(x) and solve:}\\\\0=3x-7\\\\\text{Add 7 to both sides}\\\\7=3x\\\\\text{Divide both sides by 3}\\\\\frac{7}{3}=x\\\\\boxed{\frac{7}{3}=x}$