is (0,2) a solution of the equation y = 2x

Answer 1

Hi there!

A question like this can be answered in three steps:

1) plug the x and y values into the x and y of the equation

2) simplify both sides of the equation

3) if both sides equal each other, then that point is a solution to the equation! If the sides don't equal each other, that point is not a solution of the equation.

To answer this question, let's plug the x and y values of (0, 2) into the equation y = 2x.

y = 2, and x = 0, so the new equation can be written like this:

(2) = 2(0)

Now, let's simplify the right side to see if both sides are equal to each other:

2 = 2(0)

2 = 0

Anything times 0 is 0, so the right side becomes 0, and the left side stays 2. Since 2 doesn't equal 0, we can confidently say that (0, 2) cannot be a solution to the equation y = 2x.

Hope this helps!