Awise man once said, “500 reduced by 4 times my age is 256.” what is his age

His age = 61 years

Step-by-step explanation:

Let us consider  my age is x

500 - 4 x = 256

500 - 256 = 4 x

i.e 4 x = 500 - 256

    4 x = 244

∴  x =

    x = 61

His age = 61 years

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

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.