Question

What value of x will show that line a is parallel to line b in the expressions (6x - 5)º and (3x + 16)?

a) x = 7
b) x = -7
c) x = -3
d) x = 3

Answer 1

The value of x that will make line a parallel to line b with the expressions (6x - 5)° and (3x + 16)° is x = 7, after solving the equation 6x - 5 = 3x + 16.

Step-by-step explanation:

To determine the value of x that will show that line a is parallel to line b with given expressions (6x - 5)° and (3x + 16)°, we need to set the expressions equal to each other because parallel lines have equal slopes.

Therefore, 6x - 5 = 3x + 16.

Now, let's solve for x:

• Subtract 3x from both sides: 3x - 5 = 16
• Add 5 to both sides: 3x = 21
• Divide both sides by 3: x = 7

Hence, the value of x that will show the lines are parallel is x = 7.