Answer:
q = (4 - 5 m)/(2 - m)
Step-by-step explanation:
Solve for q:
m = (2 q - 4)/(q - 5)
Hint: | Reverse the equality in m = (2 q - 4)/(q - 5) in order to isolate q to the left hand side.
m = (2 q - 4)/(q - 5) is equivalent to (2 q - 4)/(q - 5) = m:
(2 q - 4)/(q - 5) = m
Hint: | Multiply both sides by a polynomial with respect to q to clear fractions.
Multiply both sides by q - 5:
2 q - 4 = m (q - 5)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
2 q - 4 = m q - 5 m
Hint: | Isolate q to the left hand side.
Subtract m q - 4 from both sides:
q (2 - m) = 4 - 5 m
Hint: | Solve for q.
Divide both sides by 2 - m:
Answer: q = (4 - 5 m)/(2 - m)
