Question

If the expression 3x +10 is equal to 6 for some value of x, then what is the value of 3x + 2 equal to for the same value of x?

(1) 0
(3) -2
(2) 8
(4) 4

Answer 1

The expression 3x + 2 is equal to -2 when 3x + 10 equals 6, because if 3x + 10 is 6, then x equals -4/3, and substituting that into 3x + 2 gives -2.

Step-by-step explanation:

If the expression 3x + 10 is equal to 6, we can find the value of x by solving the equation:

3x + 10 = 6

Subtract 10 from both sides:

3x = 6 - 10

3x = -4

Now, divide both sides by 3 to find x:

x = -4 / 3

To find the value of 3x + 2 for the same value of x, replace x with -4/3:

3x + 2 = 3(-4/3) + 2

3x + 2 = -4 + 2

3x + 2 = -2

Therefore, for the same value of x, the expression 3x + 2 is equal to -2.