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Solving Systems by Graphing — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Use the graph to solve each system. Write the solution as an ordered pair (x, y), or write "no solution".
How to solve
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Example
Solve the system y = 2x + 1 and y = x using the graph.
Answer: (-1, -1)
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = 2 and y = -x using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = x and y = 2 using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = -1 and y = -x using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = -2x + 2 and y = -x + 2 using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = -2x + 4 and y = -x + 2 using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = 2x + 1 and y = x - 1 using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = x - 4 and y = -2x + 2 using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Solving Systems by Graphing
The solution of a system is the point that lies on both lines — where the graphs intersect. Read its x- and y-coordinates from the grid and check them in both equations. If the lines are parallel (same slope, different y-intercepts), they never meet, so there is no solution.
Try a similar one
Solve the system y = -2x - 3 and y = x + 6 using the graph.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Solving Systems by Graphing — Easy Worksheet 1
Use the graph to solve each system. Write the solution as an ordered pair (x, y), or write "no solution".