Final answer:
To find the value of a, substitute the point (3,2) into the equation ax + 2y = 10 and solve for a to get a = 2.
Step-by-step explanation:
The question is to find the value of a in the equation ax + 2y = 10, given that the point (3,2) lies on the line represented by the equation.
To find the value of a, we substitute the x and y values from the given point into the equation.
Using the point (3,2), the equation becomes:
3a + 2(2) = 10,
which simplifies to:
3a + 4 = 10.
To solve for a, we subtract 4 from both sides to get:
3a = 6,and then divide both sides by 3 to find that:
a = 2.