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

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

ANX

Step 1 : solve for x

AX=21 (our total)

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

AN + NX = AX

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

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

2x + 3x = 20  <-- add 2x +3x

5x = 20   <-- divide 5 from both sides

x = 4

Step 2 : input x into AN

AN = 2x + 1  <-- input 4 for x

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

AN = 9

-6 is the correct option from the above given options