Question

Which statement is true about this equation?​

Answer 1

(D)

Explanation:

-9(x+3)+12=-3(2x+5)-3x

-9x - 27 +12 = -6x -15 -3x (Distribute)

-9x -15 = -9x - 15 (Combine Like Terms)

-9x -15 + 15 = -9x - 15 + 15 (Add 15 to both sides)

-9x + 9x = -9x + 9x (Add 9x to both sides)

0 = 0

The equation has infinitely many solutions. The correct answer should be D.

Answer 2

D

Explanation:

Solve the equation

-9(x+3)+12 = -3(2x + 5)-3x

Use distributive property,

-9x -27 + 12 = - 6x - 15 -3x

Add the like terms,

-9x - 15 = - 9x - 15

Same coefficient of x on both sides,

So -9x will get cancelled

-15 = - 15 , We don't find x here. But the statement is true.

So, It has infinitely many solutions