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vova2212 [387]
3 years ago
11

N is between A and X. AN = 2x + 1, NX = 3x, and AX = 21. what is AN?

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

A---------------N---------------X

Step 1 : solve for x

AX=21 (our total)

because we know that AN+NX together makes AX, we put that into an equation

<u>AN + NX = AX </u>

(2x+1) + (3x) = 21

2x + 1 + 3x = 21  <-- <em>subtract 1 from both sides</em>

2x + 3x = 20  <-- <em>add 2x +3x </em>

5x = 20   <-- <em>divide 5 from both sides</em>

<u>x = 4</u>

Step 2 : input x into AN

AN = 2x + 1  <-- <em>input 4 for x</em>

AN = 2(4) + 1  <-- <em>simplify from there</em>

<u><em>AN = 9</em></u>

<u><em /></u>

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