One of our resulting statements, 4=-4, is not true. Thus, the point (-2,4) does not satisfy the system of equations.
We want to know if the ordered pair (-2,4) satisfies the following system of equations.
We can investigate that by substituting x=-2 and y=4 into both equations and simplifying the resulting equation. The ordered pair satisfies the system only if both equations then are true.
Since both statements are true the point (-4,-2) is contained in the solution set of the system.
We have been asked to determine if the ordered pair (-2,4) is a solution to the following system of equations.
Let's find out by substituting x=-2 and y=4 into both equations. If both equations are true the ordered pair is a solution.