Question

Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita’s Solution Sarita’s Verification 1 5 x minus 15 + 7 x + 28 = 73 5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73. 2 (5 + 7) x + (negative 15 + 28) = 73 3 12 x + 13 = 73 4 12 x + 60 5 x = 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake? Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step. Sarita added +13 instead of Negative 13 in the fourth step. Sarita was supposed to use the division property of equality in the third step.

Answer 1

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

Given the following equation:

$5 (x-3) + 7 (x + 4) = 73$

The steps to solve it are:

1. Apply the Distributive property:

$5x-15+7x+28=73$

2. Add the like terms:

$12x+13=73$

3. Subtract5 13 from both sides of the equation:

$12x+13-(13)=73-(13)\\\\12x=60$

4. Divide both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

To verify it, let's substitute $x=5$ into the equation:

$5 (5-3) + 7 (5 + 4) = 73$

Evaluating, we get:

$5 (2) + 7 (9) = 73\\\\10+63=73\\\\73=73$

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that  $5-3\neq -2$)

Answer 2

Answer:A

Step-by-step explanation: