Question

Given the equation 3x - 4y = 24
Find two solutions to the equation

Answer 1

By choosing values for x and solving for y, and vice versa, two solutions for the equation 3x - 4y = 24 are found to be (4, -3) and (8, 0).

Step-by-step explanation:

To find two solutions to the equation 3x - 4y = 24, you can select any two values for x and then solve for y, or you can select any two values for y and solve for x.

Example Solution 1:

Let's pick x = 4.

1. Substitute x = 4 into the equation to get 3(4) - 4y = 24.
2. Simplify to 12 - 4y = 24.
3. Subtract 12 from both sides to get -4y = 12.
4. Divide both sides by -4 to get y = -3.

This gives us one solution: (4, -3).

Example Solution 2:

Now, let's pick y = 0.

1. Substitute y = 0 into the equation to get 3x - 4(0) = 24.
2. This simplifies to 3x = 24.
3. Divide both sides by 3 to get x = 8.

This gives us another solution: (8, 0).