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4 votes
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)

1 Answer

7 votes

Answer:


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)

User Mamdouh Alramadan
by
8.2k points

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