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Type both equations
Type the y = equation first.
Type the second equation as it is written. It has −y.
y = x + 2
−x − y = 4
Read the intersection
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (−3, −1).
Example
Together
Work these three in a session. Type both equations in Desmos.
What is the solution (x, y) to the system?
y = 4x + 6
−5x − y = 21
Show Answer
In Desmos, type
y = 4x + 6
Type
−5x − y = 21
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (−3, −6).
Answer: A. (−3, −6)
What is the solution (x, y) to the system?
y = 2x + 1
−3x − y = 9
Show Answer
In Desmos, type
y = 2x + 1
Type
−3x − y = 9
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (−2, −3).
Answer: B. (−2, −3)
What is the solution (x, y) to the system?
y = −x + 8
2x − y = 1
Show Answer
In Desmos, type
y = −x + 8
Type
2x − y = 1
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (3, 5).
Answer: D. (3, 5)
Independent Practice
Try these five on your own. Type both equations in Desmos.
What is the solution (x, y) to the system?
y = −3x + 5
4x − y = 9
Show Answer
In Desmos, type
y = −3x + 5
Type
4x − y = 9
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (2, −1).
Answer: C. (2, −1)
What is the solution (x, y) to the system?
y = x + 6
−2x − y = 6
Show Answer
In Desmos, type
y = x + 6
Type
−2x − y = 6
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (−4, 2).
Answer: A. (−4, 2)
What is the solution (x, y) to the system?
y = −2x + 11
3x − y = 14
Show Answer
In Desmos, type
y = −2x + 11
Type
3x − y = 14
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (5, 1).
Answer: B. (5, 1)
What is the solution (x, y) to the system?
y = −x + 4
−6x − y = 6
Show Answer
In Desmos, type
y = −x + 4
Type
−6x − y = 6
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (−2, 6).
Answer: D. (−2, 6)
What is the solution (x, y) to the system?
y = x + 2
2x − y = −7
Show Answer
In Desmos, type
y = x + 2
Type
2x − y = −7
Click the point where the lines cross.
The solution is the (x, y) coordinate of the intersection.
The lines cross at (−5, −3).
Answer: C. (−5, −3)
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