How do you solve #1/4 + 2/(a+3) = 3/8#?

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Answer 1 · 2018-05-13T13:26:31

#a=13#

Working through algebraically,
Step 1) Subtract #1/4# from both sides
so:

#2/(a+3)=3/8-1/4#

Then simplifying as we go, this gives us #2/(a+3)=1/8#

Step 2) Multiply through by #a + 3#

so:
#2 = 1/8(a+3)#

Expanding and simplifying gives #2 = 1/8a + 3/8#

Step 3) Subtract #3/8# from each side

Simplifying gives #13/8 = 1/8a#

Step 4) divide both sides by #1/8# or multiply both sides by #8/1#,

Simplifying gives us a final answer of #a = 13#