Question

what statement is true about this equation -4(2p + 5) + 8p = -11 A. The equation has one solution, p = 2. B. The equation has one solution, p = -2 C. The equation has no solution. D. The equation has infinitely many solutions.​

Answer 1

• C) The equation has no solution .

Explanation:

To find:-

• The correct choice.

Answer:-

The given equation to us is,

`\longrightarrow -4(2p+5) + 8p = -11 \\`

Simplify by opening the brackets,

`\longrightarrow -8p - 20+8p = -11 \\`

Rearrange the terms,

`\longrightarrow (-8p + 8p ) - 20 = -11\\`

Both the terms inside the brackets would cancel each other and the resultant will be 0 ,

`\longrightarrow -20 = -11 \\`

Here we arrived a contradiction, -20 is not equal to -11 .

Henceforth, the system has no solutions .

Therefore, the correct choice is option C .