Question

when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?

Answer 1

Answer:

2(x - 1) - 1 = 3(x + 1) - 6 - x

There are infinitely many solutions.

Step-by-step explanation:

Equations

Suppose Nicky was trying to solve the equation

2(x - 1) - 1 = 3(x + 1) - 6 - x

Operating:

2x - 2 - 1 = 3x + 3 - 6 - x

2x - 3 = 2x - 3

Subtracting 2x:

-3 = -3

This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.

The same result could have come with these equations:

4x - 3 = -3 + 4x

4(x - 1) + 1 = 4(x + 1) - 7