Graphical Simultaneous Equations Worksheet

Graphical Simultaneous Equations

Read each question carefully and follow the instructions. Use the provided graph paper to plot your equations and determine the solutions. Show all your work.

1. Graph the following system of linear equations and find the solution:

Equation 1: y = 2x - 3

Equation 2: y = -x + 3

Solution (x, y):  

2. Graph the following system of equations and identify the points of intersection:

Equation 1: y = x² - 4

Equation 2: y = x - 2

Points of Intersection:  

3. The graph below shows two linear equations. How many solutions does this system have?

4. When two lines intersect at exactly one point, the system has   solution(s).

5. If two lines are parallel and never intersect, the system has   solution(s).

6. A system of equations where the graphs are the same line has   solutions.

7. A non-linear system of equations can have more than one solution.