Q48. Solve the system of equations by graphing: and

Background

Topic: Systems of Linear Equations

This question tests your ability to solve a system of two linear equations by graphing. The solution is the point where the two lines intersect.

Key Terms and Formulas:

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

• Intersection point: The value where both equations are true.

• Graphing: Plotting each equation as a line and finding their intersection.

Step-by-Step Guidance

1. Write both equations in slope-intercept form (): and

2. Identify the slope and y-intercept for each equation: For , slope , y-intercept . For , slope , y-intercept .

3. Plot both lines on a coordinate grid. Start with the y-intercept, then use the slope to find another point for each line.

4. Look for the intersection point of the two lines. This is the solution to the system.

5. Check the coordinates of the intersection point by substituting into both equations to verify.

Try solving on your own before revealing the answer!