Which equation has no solution? a. 5m-6=5m+7-m b. 3w+4-w=5w-2(w-2) c. 7y+9=7y-6 d. 4z+8=-4z-2

The equation which has no solution is:

                           Option: C

           c)        

The equation is said to have a no solution if we get a false identity on solving the equation.

a)

On combining the like terms in the right hand side of the equation we have:

Hence, we get a unique solution to the equation.

b)

on using the distributive property in the right hand side of the equation we have:

Again we get a unique solution to the equation.

c)

on subtracting 7y from both the sides of the equation we have:

which is a false identity.

Hence, the equation has no solution.

d)

This equation has a unique solution.