Question

Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.

Answer 1

For solutions for x + 3y = 22, isolate x as x = 22 - 3y. By substituting y values, we get two solutions: (21, 1/3) and (17, 5/3).

Of course, let's find two solutions for the equation x + 3y = 22.

First, isolate x:

x = 22 - 3y

Now, we can find solutions by substituting different values of y into this equation.

Let's use y = 1/3:

x = 22 - 3 * (1/3)

x = 22 - 1

x = 21

So, the point (21, 1/3) is a solution.

Now, let's use y = 5/3:

x = 22 - 3 * (5/3)

x = 22 - 5

x = 17

The point (17, 5/3) is another solution.

In both cases, we substituted different values of y and solved for x, resulting in two solutions: (21, 1/3) and (17, 5/3). These pairs of values satisfy the original equation x + 3y = 22.

So, there are two solutions to the equation: (21, 1/3) and (17, 5/3).