Lesson Worksheet: Solving Systems of Linear Equations Graphically Mathematics • 8th Grade
In this worksheet, we will practice solving a system of two linear equations by considering their graphs and identifying the point of intersection.
Q2:
Which of the following could represent a pair of simultaneous equations with no solution?
- A(c)
- B(b)
- C(a)
- D(d)
Q3:
By plotting the graphs of and , find the point that satisfies both equations simultaneously.
- A
- B
- C
- D
- E
Q5:
By plotting the graphs of and , determine the - and -coordinates of the point that satisfies both equations simultaneously.
- AThe coordinates of the point that satisfies both equations are .
- BThe two lines are coincident, so there are an infinite number of solutions.
- CThe coordinates of the point that satisfies both equations are .
- DThe coordinates of the point that satisfies both equations are .
- EThe two lines are parallel, so there are no solutions.
Q6:
Using the given graph, determine whether there is a point whose coordinates satisfy the equations of both lines simultaneously. If yes, find its coordinates.
- AThe intersection point is .
- BThe intersection point is .
- CThe two lines are parallel, so there is no such point.
- DThe intersection point is .
- EThe intersection point is .
Q9:
Which of the following graphs could be used to help solve the set of simultaneous equations
- A
- B
- C
- D
- E
Q10:
Use the shown graph to find appropriate ranges for the solutions to the simultaneous equations
- A and
- B and
- C and
- D and
- E and
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