Question

How do you solve for \[x\] in \[y = mx + b\]?

Answer 1

Hint: In the given question, we have been given an equation which is solved for \[y\]. We have to evaluate another variable in the question, \[x\]. To achieve that, we first separate all the terms on one side and the \[x\] on one side. Then we just free the \[x\] from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.

Complete step by step answer:
The given equation is \[y = mx + b\].
Shifting \[b\] to the other side,
\[y - b = mx\]
Dividing both sides by \[m\] so as to free \[x\] from any coefficient, we get,
$\Rightarrow$ \[\dfrac{{y - b}}{m} = \dfrac{{mx}}{m}\]

$\Rightarrow$ \[x = \dfrac{{y - b}}{m}\]

Additional Information:
The given equation is \[y = mx + b\]. Let us now solve for \[b\].
\[y - mx = b\]
or \[b = y - mx\]

Note: In the given question, we had been given an equation that was solved for \[y\]. We had to evaluate for another variable in the question, \[x\]. To achieve that, we first separate all the terms on one side and the \[x\] on one side. Then we just free the \[x\] from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.