Question

Which equation has no solution?

A 4x + 4 = 4 - 4x
B. 4x - 5 - 3x = x + 5
C. 4x + 15 - 9x = 5x + 15. D. 4x + 2 - x = 4 + 3x – 2

Answer 1

B) 4x-5-3x=x+5 has no solution.

Explanation:

A) 4x+4=4-4x

4x-(-4x)+4=4

4x+4x+4=4

8x+4=4

8x=4-4

8x=0

x=0/8

x=0

------------------

B) 4x-5-3x=x+5

4x-3x-5=x+5

x-5=x+5

x-x-5=5

-5=5

no solution.

------------------------

C) 4x+15-9x=5x+15

4x-9x+15=5x+15

-5x+15=5x+15

-5x-5x+15=15

-10x+15=15

-10x=15-15

-10x=0

x=0/-10

x=0

------------------------

D) 4x+2-x=4+3x-2

3x+2=3x+4-2

3x+2=3x+2

infinitely many solutions.