Question

3. Complete the following table with the mathematical statements that

Answer 1

Answer:

Step-by-step explanation:

Question (3)

The given expression is,

$\frac{4(x-3)}{3}=20$

       Statements                Proof

1). $\frac{4(x-3)}{3}=20$                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.