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

Step-by-step explanation:

Question (3)

The given expression is,

       Statements                Proof

1).                1). Given

2).           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.

17 1/3

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w