Question

Which statement is true about the solutions for the equation 3y + 4 = −2?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Which statement is true for the equation 5n − 4 = 5n − 3?

It has infinitely many solutions.
It has two solutions.
It has one solution.
It has no solution.

Answer 1

1. It has one solution.

2. It has no solution.

Explanation:

1.

The given equation is

`3y+4=-2`

Subtract 4 from both the sides.

`3y=-2-4`

Divide both sides by 3.

`y=(-6)/(3)`

`y=-2`

Therefore this equation has only one solution.

2.

The given equation is

`5n-4=5n-3`

Subtract both sides by (5n-3).

`5n-4-5n+3=0`

`-1\\eq 0`

LHS is not equal to RHS for any value of n, therefore this equation has no solution.