Solving Simultaneous Equations Using Graphs
This lesson covers:
- How to solve simultaneous equations by plotting them on a graph and seeing where they intersect
The lines y = x - 1 and y = -0.5x + 2 are shown on the graph below.
What are the x and y values of the point where the two lines intersect (cross)?
x = , y =
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Use the graph below to solve the simultaneous equations:
y = 2x - 2 and y = x + 1
x = , y =
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Use the graph below to solve the simultaneous equations:
y = -x + 6 and y = 3x + 2
x = , y =
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Use the graph below to solve the simultaneous equations:
4x - 4y = 4 and 2x + 4y = 14
x = , y =
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The straight line y + 2x = 5 is shown on the grid below.
By copying out the graph on paper and drawing a second line on the grid, find the solution to the simultaneous equations:
y + 2x = 5
y = 2x - 1
x = , y =
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The straight line 2y + 3x = 12 is shown on the grid below. By drawing a second line on the grid, find the solution to the simultaneous equations:
2y + 3x = 12
y = 0.5x + 2
x = , y =
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By drawing the lines on a graph, solve the simultaneous equations:
y = 3x + 1
x + y = 5
x = , y =
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By drawing the lines on a graph, solve the simultaneous equations:
y = 2x + 3
x + 3y = 2
x = , y =
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