# How do you check to see that (1, 4) is a solution to y=3x-2 and y=-x?

Jul 4, 2018

$\left(1 , 4\right)$ not a solution to either equation

#### Explanation:

Let's just plug $x = 1$ and $y = 4$ into these equations. For the first equation, we get

$4 = 3 \left(1\right) - 2 \implies 4 = 1 \implies 4 \ne 1$

Since $4$ is obviously not equal to $1$, $\left(1 , 4\right)$ is not a solution to this equation. What about our second equation?

$y = - x$

Let's plug in our values. We get

$4 = - 1 \implies 4 \ne - 1$

Since these values are not equal, the point $\left(1 , 4\right)$ is not a solution to the equation.

Hope this helps!