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

Answer:

a. Given,

b. Substitution

c. Subtraction of equality

d. Division of equality

e. Symmetric property of equality

Step-by-step 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,

$-2 = y$