Question

Fill in the missing reasons (one for each step). Given: 3x – 6y = 27; x = 5 Prove: -2 = y

a. 3x – 6y = 27; x = 5 / substitution?

b. 15 – 6y = 27 / subtraction?

c. -6y = 12 / division?

d. y = -2 / reflextive?

e. -2 = y / symmetric ?

Answer 1

a. Given,

b. Substitution

c. Subtraction of equality

d. Division of equality

e. Symmetric property of equality

Explanation:

Given expression,

`3x - 6y = 27; x = 5`

By substituting x = 5,

`3(5) - 6y = 27`

`15 - 6y = 27`

By subtraction property of equality,

`-6y = 12`

Division property of equality,

`y = -2`

By symmetric property of equality,

`-2 = y`