Answer
The point $(4, -1)$ is a solution of both equations.
Work Step by Step
To determine whether or not the point $(4, -1)$ is a solution of both equations, we need to substitute $4$ for $x$ and $-1$ for $y$ into both equations to see if both equations are true. Let us plug the values into the first equation to see if it is true:
$$4 + 2(-1) = 2$$
Multiply first, according to the order of operations:
$$4 + (-2) = 2$$
To add a negative number means to subtract the number, so we rewrite the equation this way:
$$4 - 2 = 2$$
Subtract:
$$2 = 2$$
The point $(4, -1)$ is a solution of the first equation.
Now, let us plug in this point into the second equation to see if the equation is true:
$$4 - 2(-1) = 6$$
Multiply first, according to order of operations:
$$4 - (-2) = 6$$
To subtract a negative number means to add the number. Let us rewrite the equation to reflect this:
$$4 + 2 = 6$$
Do the addition:
$$6 = 6$$
The point $(4, -1)$ is also a solution of the second equation, so it is a solution of both equations.
