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Solve the following problem for the specified variable.

[tex]\[ A = \frac{1}{3} h (q + z) \][/tex]

Solve for [tex]\( q \)[/tex].

Sagot :

GinnyAnswer
Certainly! Let's solve the given equation for the variable \( q \). The equation is:

[tex]\[ A = \frac{1}{3} h (q + z) \][/tex]

We will solve this step-by-step:

1. Eliminate the fraction:
To get rid of the fraction \(\frac{1}{3}\), multiply both sides of the equation by 3:

[tex]\[ 3A = h (q + z) \][/tex]

2. Isolate the term involving \( q \):
To isolate \( q \), divide both sides of the equation by \( h \):

[tex]\[ \frac{3A}{h} = q + z \][/tex]

3. Solve for \( q \):
Finally, to solve for \( q \), subtract \( z \) from both sides of the equation:

[tex]\[ q = \frac{3A}{h} - z \][/tex]

So, the variable \( q \) is given by:

[tex]\[ q = \frac{3A}{h} - z \][/tex]
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