Answer:
see the explanation
Step-by-step explanation:
Let
x -----> the number
we know that
Three-eighths multiplied by a number plus one must be equal to 11
so
The linear equation that represent this situation is
[tex]\frac{3}{8}x+1=11[/tex]
Solve for x
Subtract 1 both sides
[tex]\frac{3}{8}x+1-1=11-1[/tex]
[tex]\frac{3}{8}x=10[/tex]
Multiply by 8/3 both sides
[tex]\frac{3}{8}x(\frac{8}{3})=10(\frac{8}{3})[/tex]
[tex]x=\frac{80}{3}[/tex]
The number is 80/3
