Question

3. Complete the following table with the mathematical statements that

4(x-3)
= 20.
3
correspond to the proofs used to solve
Proof
Statements
4(x - 3)
= 20
3
Given
Multiplication Property of Equality
Distributive Property
Addition Property of Equality

Answer 1

Explanation:

Question (3)

The given expression is,

`(4(x-3))/(3)=20`

Statements Proof

1).
`(4(x-3))/(3)=20` 1). Given

2).
`4(x-3)=60` 2). Multiplication property of equality

3). 4x - 12 = 60 3). Distributive property

4). 4x = 72 4). Addition property of equality

5). x = 18 5). Division property of equality

Question (4)

Equations are,

5x + 10 = 30 ------(1)

5(x + 10) = 30 ------(2)

From equation (1),

5x + 10 = 30

5x = 30 - 10

x = 4

From equation (2),

5(x + 10) = 30

(x + 10) = 6

x = 6 - 10

x = -4

Therefore, solutions of both the equations are different.