Tony solves the linear equation 3 (x - 3) + 2x + 9 = 2x + 2 (x - 1) using the step shown below.

Step 1: 3x - 3 + 2x + 9 = 2x + 2x - 1

Step 2: 5x + 6 = 4x - 1

Step 3: 5x - 4x = - 1 - 6

Step 4: x = - 7

b

Oc

Od

He incorrectly applied the addition and subtraction properties of equality.

He distributed incorrectly.

He incorrectly applied the multiplication and division properties of equality.

He incorrectly combined like terms.

Question

Massey

Mathematics

5 June, 17:12

Tony solves the linear equation 3 (x - 3) + 2x + 9 = 2x + 2 (x - 1) using the step shown below.

Step 1: 3x - 3 + 2x + 9 = 2x + 2x - 1

Step 2: 5x + 6 = 4x - 1

Step 3: 5x - 4x = - 1 - 6

Step 4: x = - 7

b

Oc

Od

He incorrectly applied the addition and subtraction properties of equality.

He distributed incorrectly.

He incorrectly applied the multiplication and division properties of equality.

He incorrectly combined like terms.

+3

Answers (1)

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Mckayla Norris · Answer 1

He distributed incorrectly.

Step-by-step explanation:

To solve 3 (x - 3) + 2x + 9 = 2x + 2 (x - 1)

Opening the parenthesis will yield

3x - 9 + 2x + 9 = 2x + 2x - 2

5x = 4x - 2

Subtract 4x from both-side of the equation

5x-4x = 4x - 4x - 2

x = - 2

The mistake he made is;

3 (x - 3) = 3x - 9

Not 3x-3

Also

2 (x - 1) = 2x - 2

Not 2x-1