Question

Which best explains why the eqation 4x+5=4x-1 has no solutions

A. The equation is not true for any value of x.
B. The equation has a variable on both sides
C. The equation is true for any value of x.​

Answer 1

A

Explanation:

The equation is not true for any value of x because it has 4x on both sides, but has both +5 and -1 on both sides, so this is impossible.

The equation would never work because the left side would always be bigger than the right side and vice versa.

Answer 2

A

Explanation:

If you simplify the equation you are left with 5 = -1, which is an untrue statement. Therefore, no matter what value you use for x you will always be left with 5 = -1.