Question

practice & problem solving leveled practice in 7 and 8, complete the equations to fi number of solutions. 7. classify the equation 33x + 99 = 33x - 99 as having on no solution, or infinitely many solutions. 33x + 99 = 33x - 99 33x - \square + 99 = 33x - \square - 99 99 \square - 99 since 99 is \square equal to -99, the equation has

Explanation:

Step1: Subtract 33x from both sides

$33x - 33x + 99 = 33x - 33x - 99$

Step2: Simplify both sides

$99 = -99$

Step3: Analyze the resulting statement

This is a false contradiction.

Answer:

The blanks are filled as follows:
$33x - \boldsymbol{33x} + 99 = 33x - \boldsymbol{33x} - 99$
$99 \boldsymbol{=} -99$ (this is a false statement)
Since 99 is $\boldsymbol{not}$ equal to -99, the equation has no solution.