Verified Answer :

Makoto

if you put x for "a number,"
     2/3(x) + 4 = 7
     2x/3 = 7-4
     2x/3 = 3
          x = 2

Answer:

The unknown number is 9/2.

Step-by-step explanation:

Let the unknown number be x.

It is given that two-thirds a number plus 4 is 7.

\(\frac{2}{3}x+4=7\)

Subtract 4 from both sides.

\(\frac{2}{3}x+4-4=7-4\)

\(\frac{2}{3}x=3\)

Multiply 3 on both sides.

\(2x=9\)

Divide both sides by 2.

\(x=\frac{9}{2}\)

Therefore the unknown number is 9/2.