Identifying the Property of Equality Quick

Check

Identify the correct property of equality to solve each equation.

3+x= 27

X/6 = 5

a) Compatibility of Equality with Addition, b) Compatibility of Equality with Multiplication

Step-by-step explanation:

a) This expression can be solved by using the Compatibility of Equality with Addition, that is:

1) Given

2) Commutative property

3) Compatibility of Equality with Addition

4) Associative property

5) Existence of Additive Inverse/Definition of subtraction

6) Modulative property/Subtraction/Result.

b) This expression can be solved by using the Compatibility of Equality with Multiplication, that is:

1) Given

2) Definition of division

3) Compatibility of Equality with Multiplication

4) Associative property

5) Existence of multiplicative inverse

6) Modulative property/Result

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)