Question

What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and 1.2. Distribute 1.2 to 6.3 and –7x . Combine 6.3 and –7x . Combine 3.5 and 7.56. Subtract 11.06 from both sides. 5n – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500

Answer 1

Step 1: Distribute 1.2 to 6.3 and –7x

Step 2: Combine 3.5 and 7.56

Step 3: Subtract 11.06 from both sides

Explanation:

Given the expression 3.5 + 1.2(6.3 – 7x) = 9.38, we are to write the possible steps involved in solving the equation

3.5 + 1.2(6.3 – 7x)

Step 1: Distribute 1.2 to 6.3 and –7x

3.5 + 1.2(6.3 – 7x) = 9.38

3.5 + 1.2(6.3) + 1.2(-7x) = 9.38

3.5 + 7.56 - 8.4x = 9.38

Step 2: Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Step 3: Subtract 11.06 from both sides

11.06 - 8.4x - 11.06 = 9.38 - 11.06

-8.4x = -1.68

Step 3=4: Divide both sides by -8.4

-8.4x/-8.4 = -1.68/-8.4

x = 0.2

Hence the three steps are

Step 1: Distribute 1.2 to 6.3 and –7x

Step 2: Combine 3.5 and 7.56

Step 3: Subtract 11.06 from both sides