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?

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

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17