Question

Given : 11x – 6y = –1; x = 8

Prove: start fraction 89 over 6 end fraction = y


11x – 6y = –1; x = 8


88 – 6y = –1


–6y = –89


y = start fraction 89 over 6 end fraction



A. a. Given; b. Symmetric Property of Equality; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality

B. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality

C. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality

D. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Addition Property of Equality; e. Symmetric Property of Equality

Answer 1

B. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality

Explanation:

Given expression,

`11x - 6y = -1; x = 8`

By substituting x = 8,

`11(8) - 6y = -1`

`88 - 6y =-1`

By subtraction property of equality,

`-6y = -89`

Division property of equality,

`y = (89)/(6)`

By symmetric property of equality,

`(89)/(6) = y`