Question

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Answer 1

Putting it short: Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Explanation:

Answer 2

Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Explanation:

Given

`(1)/(2)x + 4` - Expression 1

`x + 6 - (1)/(2)x - 2` -- - Expression 2

Required

Find the result of both expressions when
`x = 2`

Expression 1

`(1)/(2)x + 4`

Substitute
`x = 2`

`(1)/(2) * 2 + 4`

`1 + 4`

`Result = 5`

Expression 2

`x + 6 - (1)/(2)x - 2`

Substitute
`x = 2`

`2 + 6 - (1)/(2) * 2 - 2`

`2 + 6 -1 -2`

`Result = 5`