Aim #22: How do we solve a system of equationsgraphically?
Homework: Text (read page 185-186, p. 189 #s 14-21).
Do Now: Consider the system of equations below:
x + y = 10
y = 2x + 1
a) Write the system of equations as a compound sentence.
b) Name an ordered pair that is a solution to x + y = 10.
c) Name an ordered pair that is a solution to y = 2x + 1.
d) Name an ordered pair that is a solution to both x + y = 10 and y = 2x + 1.
Now, let's solve the system of equations graphically.
x + y = 10
y = 2x + 1
How do we determine where the solution lies?
Solve each system graphically.
y = 4x - 1
2y = -x + 16
4x + y = 6
2y + 8x = 12
3x + y = 5
3x + y = 8
x-y=5
x = -1
x-y=4
y = -2x
y=
3x - y = 5
x
3x + 2y = -5
2x + 4y = 2
x + 2y = 0
3x - 2y = 16
4x + y = 1
x + 2y = -12
y - 4 = -3x
y = 4x - 10
Sum it Up!
To determine the solution to a system of equations graphically, we find where the
lines _______________.
How can you tell when a system of equations will have no solution from the graph?
What would be the solution if a system of equations had the same slope and the
same y-intercept?