Both ordered pairs satisfy the given equation so they are solutions of the equation. $(5, 0)$ is also a solution of the equation.
Work Step by Step
An ordered pair (or point) is a solution to a given linear equation if its x and y values satisfy the equation. Substitute the x and y values of each ordered pair into the given equation. For $(-1, 3)$: $2y+x=5 \\2(3)+(-1)=5 \\6+(-1)=5 \\5=5$ For $(7, -1)$: $2y+x=5 \\2(-1)+7=5 \\-2+7=5 \\5=5$ Both ordered pairs satisfy the equation, so they are both solutions of the given equation. Plot both points on the same coordinate plane, then connect them using a straight line (refer to the attached graph below). Any other point on the line is a solution of the given equation. Note that the line contains the point $(5, 0)$ so it is also a solution of the equation.