Question

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20

Answer 1

Explanation:

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20.

Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication.

1/2x - 3 = 7

One-half x minus 3 equals 7.

Step 1: add 3 to both sides

1/2x - 3 + 3 = 7 + 3

One-half x minus 3 plus 3 equals 7 plus 3

Step 2:

1/2x + 0 = 10

One-half x plus 0 equals 10

Step 3: One-half x equals 10

1/2x = 10

Step 4: Multiply both sides by 2

1/2x * 2 = 10 * 2

2 (one-half) x equals 2 (10)

Step 5:

1x = 20

1 x equals 20

Step 6:

x = 20

x equals 20.

identity property of multiplication states that when 1 is multiplied to an equation, the result remains the same.

identity property of multiplication justifies Step 6 of his work