## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Both ordered pairs satisfy the given equation so they are solutions of the equation (refer to the step-by-step part below). $(0, -1)$ is also a solution of the equation.
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 $(1, 1)$: $6x-3y=3 \\6(1)-3(1)=3 \\6-3=3 \\3=3$ For $(-1, -3)$: $6x-3y=3 \\6(-1)-3(-3)=3 \\-6-(-9)=3 \\-6+9=3 \\3=3$ 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 $(0, -1)$ so it is also a solution of the equation.