MPM 2D1
Name:
Date:
1.2 – Solving Linear Systems by Graphing
When we solve a system of linear equations, we find _______________________________________.
State the solution for each of the following linear systems:
Two tutors charge a certain fee to help students with a course. Mr. Richards charges $40/h and Mrs.
Fermat charges a fixed cost of $20 plus $35/h. Determine an equation that represents each relation
between the cost of the course in dollars, C, and the number of hours, h.
y
a) Write an equation for Mr. Richards.
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b) Write an equation for Mrs. Fermat.
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c) Determine the point of intersection. What does
this point represent?
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d) Under which conditions should a student
choose one tutor or another? Explain.
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MPM 2D1
Name:
Date:
Solving the following systems graphically.
y = 3x – 1
y = -2x + 9
y = 3x + 2
y = 3x – 5
2x + y = -7
x – 2y = 4
x+y=5
2y = -2x + 10
MPM 2D1
Name:
Date:
Number of Solutions
Determine the number of solutions for each system.
a) 2x + y = 6
y = –2x + 8
System
Slope
Coordinates
Solution
b) y = –3x + 1
6x + 2y = 2
c) y = –2x + 4
x + 2y – 6 = 0