Question

explain how to solve a system of equations using graphing.
choose the correct answer below.
a. to solve a system of linear equations by graphing, graph both equations in the same rectangular coordinate system. for a system with one solution, the y-coordinates of the y-intercept of each line is the systems solution.

b. to solve a system of linear equations by graphing, graph both equations in the same rectangular coordinate system. for a system with one solution, the coordinates of the point of intersection of the lines is the systems solution.

c. to solve a system of linear equations by graphing, solve either of the equations for one variable in terms of the other. substitute the expression into the other equation. solve the resulting equation containing one variable. back-substitute the value found into one of the original equations.

Explanation:

• Option A is incorrect because the y - coordinates of the y - intercepts are not the solution of the system. The solution is the point where the lines intersect, not related to just y - intercepts' y - coordinates.
• Option B is correct. When solving a system of linear equations by graphing, we graph both equations on the same coordinate system. The solution of the system (for a system with one solution) is the point where the two lines intersect, and the coordinates of that intersection point satisfy both equations.
• Option C describes the substitution method, not the graphing method for solving a system of linear equations.

Answer:

B. To solve a system of linear equations by graphing, graph both equations in the same rectangular coordinate system. For a system with one solution, the coordinates of the point of intersection of the lines is the system’s solution.