find the x - intercept of the line 3x + 19y = - 18. write your answer as an integer or as a simplified…

find the x - intercept of the line 3x + 19y = - 18. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

find the x - intercept of the line 3x + 19y = - 18. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Answer

Explanation:

Step1: Recall the definition of x - intercept

The x - intercept occurs when (y = 0).

Step2: Substitute (y = 0) into the equation

Substitute (y = 0) into (3x+19y=-18), we get (3x+19\times0=-18). Simplify the equation: (3x=-18).

Step3: Solve for (x)

Divide both sides of the equation (3x = - 18) by 3. Using the formula (x=\frac{-18}{3}).

Answer:

(-6)