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

Answer:

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

Step-by-step explanation:

Given

$\frac{1}{2}x + 4$ - Expression 1

$x + 6 - \frac{1}{2}x - 2$ -- - Expression 2

Required

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

Expression 1

$\frac{1}{2}x + 4$

Substitute $x = 2$

$\frac{1}{2} * 2 + 4$

$1 + 4$

$Result = 5$

Expression 2

$x + 6 - \frac{1}{2}x - 2$

Substitute $x = 2$

$2 + 6 - \frac{1}{2} * 2 - 2$

$2 + 6 -1 -2$

$Result = 5$