Introductory Algebra for College Students (7th Edition)

The point $(-4, 3)$ is not a solution of both equations.
To determine whether or not the point $(-4, 3)$ 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: $$-4 + 2(3) = 2$$ Multiply first, according to the order of operations: $$-4 + 6 = 2$$ Let us add: $$2 = 2$$ The point $(-4, 3)$ 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: $$-4 - 2(3) = 6$$ Multiply first, according to order of operations: $$-4 - (6) = 6$$ Subtract to solve: $$-10 = 6$$ The point $(-4, 3)$ is not a solution of the second equation, so it is not a solution of both equations.