# AFDA Name Day 4 Block

```AFDA – Unit 2: Linear Functions Part 2
Day 4 Notes: Solving Systems by Graphing
Name: _________________
Block: _____ Date:_______
Today…
 Find the solutions to linear systems by graphing
 Work out some practice problems
 Solve systems on our calculator
Linear System:____________________________________________________
Solution to a Linear System:_________________________________________
Method #1: Solving systems by graphing:
 ___________ both equations on the same coordinate plane.
 See if you can identify where the lines _________________.
 ___________ this intersection point in both of the equations to determine whether or
not it is a solution to the system.
1) – x + y = -7
x + 4y = -8
Solution:_________
2) y = 5x
y = -5x + 10
Solution:___________
Practice Problems
3) – x + 2y = 3
y = -2x + 4
4) x – y = 5
3x + y = 3
Solution: ____________
Solution: ___________
Determine whether or not the given point is a solution to the system.
1) (3,9)
2) (-3,-2)
3) (2,5)
y = 2x + 3
x+y=1
y = -3x + 1
y = -3x + 18
y = 2x – 5
-5x + y = -31
On the calculator…
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Solve each function for y
Type the equations Y1 and Y2
Adjust the window so that you can see the intersection point on the screen
Use the 2nd Calc, Intersect function to find the intersection point
Try it:
4) – x + y = -2
y = 2x – 6
Y1 = ____________
Y2 = ____________
5) 3x + 2y = 2
-3x + y = -11
Y1 = ____________
Y2 = ____________
6) 2x – y = -5
y = -x – 5
Y1 = ____________
Y2 = ____________
```