Question

Solve ax – 5 = b for a

Question 1 options:

a)

x(b+5)


b)

b−5x, x≢0
b
-
5
x
,

x
≢
0

c)

b+5x, x≢0
b
+
5
x
,

x
≢
0

d)

x(b-5)

Answer 1

`a=(b+5)/(x)`

Explanation:

To solve for "
`a`" in the equation:
`ax-5=b`, we apply operations on both sides of the equality such that lead us to isolate the value we need to solve for (in our case
`a`) on one side of the equal sign.

Let's start by "adding" 5 to both sides, so we eliminate it on the left, proceeding to isolate the term that contains
`a`:

`ax-5=b\\ax-5+5=b+5\\ax=b+5`

now proceed to eliminate the factor "x" that multiplies "
`a`", by dividing both sides by "x":

`ax=b+5\\(ax)/(x) =(b+5)/(x)\\a=(b+5)/(x)`

`a` has been isolated on one side of the equal sign, so this is the expression we got for it:
`a=(b+5)/(x)`