Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.