Question

Solve for the following equation 3+6z=13+6z

A.z=-5/6
B.z=2 2/3
C.infinitely many solutions
D.no solution

Answer 1

3 + 6z = 13 + 6z
6z - 6z = 13 - 3
0 = 10 (incorrect)
this equation has no solution

Answer 2

D. No solution

Explanation:

Since, if an equation after solving gives a true statement,

Then the equation has infinitely many solution,

While, after solving the equation,

We get, a false statement,

Then the equation has no solution,

Given equation,

3 + 6z = 13 + 6z

⇒ 3 = 13

Which is a FALSE statement,

Hence, the given equation has no solution.

OPTION D is correct.