Question

Determine whether (6,4) is a solution of y = 19x - 2.

Answer 1

Not a solution

Explanation:

To determine if a pair of coordinates is the solution to an equation, just plug it in.

Given that the equation is:

y = 19x - 2

And the coordinates they give us to evaluate:

(6, 4)

Plug the coordinates in:

y = 19x - 2

4 = 19(6) - 2

4 = 114 - 2

4 = 112

4 ≠ 112

4 is not equal to 112. Therefore this pair is not the solution.

Answer 2

Answer: No, it's not a solution.

Explanation

The point (6,4) tells us that x = 6 and y = 4 pair up together.

Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.

y = 19x - 2

4 = 19*6 - 2

4 = 114 - 2

4 = 112

We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.

Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.