# 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.

Q1:

Find the solution set of the two equations represented by and . • A
• B
• C
• D
• E

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

Q4:

Use the shown graph to solve the given simultaneous equations. • A and
• B and
• C and
• D and
• E and

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 .

Q7:

Plot the graphs of the simultaneous equations and then solve the system.

• AThere are infinitely many solutions as both equations represent the same line.
• B,
• C,
• D,
• EThere are no solutions as both equations represent parallel lines.

Q8:

Which of the following sets of simultaneous equations could be solved using the given graph? • A
• B
• C
• D
• E

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