Find the value of the coefficient a in the equation ax + 5y-40 = 0, if it is known that the solution

Find the value of the coefficient a in the equation ax + 5y-40 = 0, if it is known that the solution to the equation is a pair of numbers (3; 2)

In order to find the value of the coefficient a in the equation ax + 5y – 40 = 0, if it is known that the solution to the equation is a pair of numbers (3; 2), we compose and solve a linear equation.

So, since the point with coordinates (3; 2) is a solution to the equation, we will substitute x = 3; y = 2 and we get a linear equation with one variable.

a * 3 + 5 * 2 – 40 = 0;

3a + 10 – 40 = 0;

We transfer the terms without variable to the right side of the equation:

3a = 40 – 10;

3a = 30;

a = 30: 3;

a = 10.

Answer: the value of the coefficient is a = 10.