Bradley solved the following equation: 4(5x – 6) = 2(8x + 10) step work justification 1 20x – 24 = 16x + 20 2 4x – 24 = 20 3 4x = 44 4 x = 11 which of the following has all correct justifications bradley used to solve this equation? 1. associative property of addition. 2. subtraction property of equality. 3. addition property of equality. 4. multiplicative inverse. 1. associative property of addition. 2. subtraction property of equality. 3. addition property of equality. 4. division property of equality. 1. distributive property. 2. subtraction property of equality. 3. addition property of equality. 4. multiplicative property of equality. 1. distributive property. 2. subtraction property of equality. 3. addition property of equality. 4. division property of equality.

Solution:

The equation solved by Bradley is

→4(5x – 6) = 2(8x + 10)

Step Work  

1. 20 x – 24 = 16 x + 20    →[ Distributive property]

Taking variable on one side of equation

2 . 4 x – 24 = 20  →[Subtraction property of equality.]

Taking constant on one side of equation

3 . 4 x = 44→[Addition property of equality.]

Dividing both sides by 4

4 . x = 11          → [Division property of equality.]

Out of all the four options given ,Fourth option [ 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality ], completely satisfies the work done  in equation.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.