Question

Tre determines the solution to the equation 3.57x + 1.61 = 4.71 - 2.63x is x = 0.5. He verifies his solution using the steps below.

Equation: 3.57x + 1.61 = 4.71 - 2.63x
Step 1: 3.57(0.5) + 1.61 = 4.71 - 2.63(0.5)
Step 2: 1.785 + 1.61 = 4.71 - 1.315
Step 3: 3.395 = 6.025

Which statement most accurately describes Tre’s error?

A. Tre made an error when determining the original solution of x = 0.5.
B. Tre made an error when substituting the solution in for x.
C. Tre made an error when multiplying each coefficient by 0.5.
D. Tre made an error when adding or subtracting.

Answer 1

Answer: The answer is d

Explanation:

Answer 2

Option D. Tre made an error when adding or subtracting

Explanation:

we have the equation

`3.57x + 1.61 = 4.71 - 2.63x`

Solve for x

Group terms that contain the same variable and move the constant to the other side

`6.2x= 4.71 - 1.61`

Combine like terms

`6.2x=3.1`

`x=0.5`

Verify

Step 1: 3.57(0.5) + 1.61 = 4.71 - 2.63(0.5) ---> is correct

Step 2: 1.785 + 1.61 = 4.71 - 1.315 ----> is correct

Step 3: 3.395 = 6.025 ---> is not correct

because

4.71-1.315=3.395 instead of 6.025

therefore

Tre made an error when subtracting