Q48. Solve the system of equations by graphing:

Background

Topic: Systems of Linear Equations (Graphical Solution)

This question tests your ability to solve a system of two linear equations by finding the intersection point of their graphs. The solution to the system is the point where the two lines cross.

Key Terms and Formulas

• System of Equations: Two or more equations with the same variables.

• Graphical Solution: The intersection point of the lines represents the solution to the system.

• Slope-Intercept Form: , where is the slope and is the y-intercept.

Step-by-Step Guidance

1. Graph the first equation . Identify the y-intercept () and the slope (). Start at (0, -3) and use the slope to plot another point (rise 2, run 1).

2. Graph the second equation . The y-intercept is and the slope is . Start at (0, 2) and use the slope (down 1, right 2) to plot another point.

3. Find the intersection point of the two lines. This point is the solution to the system.

4. Check your graph to ensure both lines are drawn accurately and clearly intersect at one point.

Try solving on your own before revealing the answer!