Question

If JN = x + 3 and JL = 3x + 1, determine which of the following values are correct. Select two that apply.

A) x = 5, JN = 8, JL = 16
B) x = 4, JN = 7, JL = 13
C) x = 1, JN = 4, JL = 6
D) x = 2, JN = 5, JL = 10

Answer 1

To determine which values are correct, substitute the given x values into the equations JN = x + 3 and JL = 3x + 1.

The correct options are A) x = 5, JN = 8, JL = 16 and B) x = 4, JN = 7, JL = 13.

Step-by-step explanation:

To determine which values are correct, we need to substitute the given values of x into the equations JN = x + 3 and JL = 3x + 1.

Let's check each option:

1. Option A: x = 5, JN = 8, JL = 16
   We substitute x = 5 into the equations: JN = 5 + 3 = 8 and JL = 3(5) + 1 = 16
   Both JN and JL values match, so this option is correct.
2. Option B: x = 4, JN = 7, JL = 13
   We substitute x = 4 into the equations: JN = 4 + 3 = 7 and JL = 3(4) + 1 = 13
   Both JN and JL values match, so this option is correct.
3. Option C: x = 1, JN = 4, JL = 6
   We substitute x = 1 into the equations: JN = 1 + 3 = 4 and JL = 3(1) + 1 = 4
   The JN value matches, but the JL value doesn't, so this option is incorrect.
4. Option D: x = 2, JN = 5, JL = 10
   We substitute x = 2 into the equations: JN = 2 + 3 = 5 and JL = 3(2) + 1 = 7
   The JN value matches, but the JL value doesn't, so this option is incorrect.

So, the correct options are A) x = 5, JN = 8, JL = 16 and B) x = 4, JN = 7, JL = 13.