Question

The values of X and which satisfy the linear equation 2x + 3y = 16 are.

Answer 1

(5,2)

You can solve the linear equation 2x + 3y = 16 by first isolating x in terms of y, then substituting values of y to find corresponding values of x. Example solutions include (8,0) and (5,2).

Step-by-step explanation:

The given equation is a linear equation in two variables, x and y. It can be solved for specific values of x and y. A simple method is to isolate one variable so you can find its value more easily. Let's begin the process:

1. Isolate the variable x by subtracting 3y from both sides of the equation. This yields 2x = 16 - 3y.
2. To find the value of x, divide both sides by 2. This results in x = (16 - 3y) / 2.
3. Now that we have x in terms of y, we can select a value for y and solve for x accordingly. For example, if y = 0, then x = 16 / 2 = 8. So, one solution pair could be (8,0).
4. Similarly, if y = 2, then x = (16 - 3*2) / 2 = 5. So, another solution pair could be (5,2).

Learn more about Solving Linear Equation