Find the value of the coefficient a in the equation ax + 2y-30 = 0 if it is known that the pair

Find the value of the coefficient a in the equation ax + 2y-30 = 0 if it is known that the pair of numbers (9; -3) is a solution to the equation

In order to find the value of the coefficient a in the equation ax + 2y – 30 = 0, if it is known from the condition that the pair of numbers (9; -3) is a solution to this equation, we will do this.

Let us substitute the coordinates of the point into the given equation and proceed to solving a linear equation with one variable.

Substitute x = 9 and y = -3 and get:

a * 9 + 2 * (-3) – 30 = 0;

9a – 6 – 30 = 0;

Move -6 and -30 to the right side of the equation and get:

9a = 30 + 6;

9a = 36;

Divide both sides of the equation by 9 and get:

a = 36: 9;

a = 4.