Question

Which of the following has no solution?

a. 2(x + 5) = 1 + 2x + 9
b. 2x - 10 = x - 5
c. 5x + 12 = 5(x + 4)
d. 2x + 10 = 4x + 2

Which of the following has infinitely many solutions?

a. 2(x + 5) = 1 + 2x + 9
b. 2x - 10 = x - 5
c. 5x + 12 = 5(x + 4)
d. 2x + 10 = 4x + 2

Answer 1

Explanation:

1)C

Because

5x+12=5(x+4)

=5x+12=(5×x)+(5×4)

=5x+12=5x+20

TRANSPOSE

=-20+12=5x+(-5x)

=-8=0??

2)A

Because

2(x+5)=1+2x+9

(2×x)+(2×5)=1+9+2x

2x+10=10+2x

TRANSPOSE

2x+(-2x)=10+(-10)

0=0

Or

2x+10=10+2x

12x=12x

0=0

Answer 2

Explanation:

No solution

5x+12=5(x+4)

‘5x+12=5x+20

12=20 is obviously incorrect so this is no solution

infinite many

2(x+5)=1+2x+9

2x+10=2x+10

10=10