Answer
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.
