Question

Need Help ASAP! Provide the missing statements and reasons for the following proof. Please provide proof.

Answer 1

Answer/Step-by-step explanation:

The following shows the reasons for each step taken in proving that $x = \frac{61}{9}$:

Step 1:

$9(x - 2) + 32 = 75$ => R1: Given

Step 2: apply the subtraction property of equality by subtracting 32 from each side of the equation.

$9(x - 2) + 32 - 32 = 75 -32$

$9(x - 2) = 43$ => R2: Subtraction property of equality

Step 3: Eliminate the parentheses by applying the distributive property of multiplication

$9x - 18 = 43$ => R3: distributive property of multiplication

Step 4: Apply the addition property of equality by adding 18 to each side.

$9x - 18 + 18 = 43 + 18$

$9x = 61$ => R4: Addition property of equality

Step 5: Apply the division property if equality by dividing both sides by 9.

$\frac{9x}{9} = \frac{61}{9}$

$x = \frac{61}{9}$ => R5: Division property of equality