What is the next whole number after 267 In base 8

The next number would be 270₈. The given number has an digit expansion of

267₈ = 2•8² + 6•8¹ + 7•8⁰

If x is the next number, then adding 1 to the both sides gives

x = 2•8² + 6•8¹ + 7•8⁰ + 1

x = 2•8² + 6•8¹ + 7•8⁰ + 1•8⁰

x = 2•8² + 6•8¹ + 8•8⁰

x = 2•8² + 6•8¹ + 1•8¹

x = 2•8² + 7•8¹

x = 2•8² + 7•8¹ + 0•8⁰

and so x = 270₈.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions