Question

Cadence is substituting t=4 and t=6 to determine if the two expressions are equivalent.

2(7t-3)
15t(-12)
Which statement is true?


a. Both expressions are equivalent to 78 when t=6.

b. Both expressions are equivalent to 81 when t=6.

c. Both expressions are equivalent to 48 when t=4.

d. The expressions are equivalent.

Answer 1

Answer: A

Step-by-step explanation: Both expressions are equivalent to 78 when t= 6.

Answer 2

Both expressions are equivalent to 78 when t = 6 ⇒ answer A

Explanation:

* To solve this problem substitute the value of t and then check

the answer

∵ The first expression is 2(7t - 3) ⇒ simplify it

# 2(7t) = 14t

# 2(3) = 6

∴ 2(7t - 3) = 14t - 6

- Substitute t by 4

∴ 14t - 6 = 14(4) - 6 = 56 - 6 = 50

- Substitute t by 6

∴ 14t - 6 = 14(6) - 6 = 84 - 6 = 78

∵ The second expression is 15t - 12

- Substitute t by 4

∴ 15t - 12 = 15(4) - 12 = 60 - 12 = 48

- Substitute t by 6

∴ 15t - 12 = 15(6) - 12 = 90 - 12 = 78

- The first expression has two values

# 50 when t = 4

# 78 when t = 6

- The second expression has two values

# 48 when t = 4

# 78 when t = 6

- From these information

# The two expressions have the same value 78 when t = 6

∴ Both expressions are equivalent to 78 when t = 6