Question

Find the value of x that makes lines u and v parallel.

u: 14x + 2
v: 13x + 9
a) x = 7
b) x = 5
c) x = -1
d) x = -5

Answer 1

The value of x that satisfies this condition is x = 7.

The answer is option ⇒a

Step-by-step explanation:

To find the value of x that makes lines u and v parallel, we need to compare the coefficients of x in each equation. The coefficients of x in the given equations are 14 and 13. If the lines are parallel, their slopes are equal, which means the coefficients of x must be equal. So, we can set up the equation: 14x + 2 = 13x + 9.

To solve for x, we can subtract 13x from both sides of the equation: 14x - 13x + 2 = 13x - 13x + 9.

Simplifying gives us: x + 2 = 9.

Next, we subtract 2 from both sides: x + 2 - 2 = 9 - 2.

Simplifying further gives us: x = 7.

Therefore, the value of x that makes lines u and v parallel is x = 7.

The answer is option ⇒a