Question

How many solutions does this

equation have?
3s = 8s -5s
A one solution
C no solution
B two solutions
D infinite

Answer 1

D)

Explanation:

Given equation:

• 
  `3s = 8s - 5s`

To simplify this equation, we need to isolate the variables on one side of the equation and the constants on the other side of the equation. To do this, we can simplify the R.H.S as like terms can subtract.

⇒
`3s = 8s - 5s`

⇒
`3s = s(8 - 5)`

⇒
`3s = s(3) = 3s`

⇒
`3s= 3s`

Since both sides of the equation are the same, this system of equations has infinite solutions.

Check:

We can check our answer by substituting the value of "s" into the equation. As a result, you will see that many values of "s" are satisfying the equation. Thus, Option D is correct.

Answer 2

D

Explanation:

3s = 8s - 5s

8s = 8s

s = 0, 1, 2, 3.......

so infinite solutions