Respuesta :
Answer:
The answer is [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
In order to determine the answer, we have to express the statement to a algebraic expression.
The "two thirds" means [tex]\frac{2}{3}[/tex].
Then "plus a number" means [tex]+x[/tex]. "x" is the variable that we want to know its value.
Then "plus 4" means +4.
So, the algebraic expression is:
[tex]\frac{2}{3}+x+4=7[/tex]
Then, we have to solve for "x". We free this variable in any side of the equation:
[tex]x=-\frac{2}{3}+7-4\\x=\frac{-2+9}{3}\\x=\frac{7}{3}\\[/tex]
Finally, the "x" value is [tex]\frac{7}{3}[/tex]