1. 5.1 -Systems of Linear Equations
System of linear equations contains two or more linear equations with the same variable.
Example: x + y = 3
x – y = -4

2. Graphing Systems of Linear Equations
Where two lines cross it’s called the point of intersection. This point is a solution to both equations.
Slope-Intercept Form
y = mx + b
(m = slope, b = y-int)
y = -x + 3
y = x + 1

3. Find the Solution to the system of Linear Equations.

4. Checking the solution (1 , 2)
y = -x + 3
(2) = -(1) + 3
2 =
2 = 2
Yes is a solution.
y = x + 1
(2) = (1) + 1
2 = 2
Yes is a solution.

5. Find the Solution of the System of Linear Equations.
3x + 2y = 4
3(2) + 2(-1) = 4
6 – 2 = 4
4 = 4
-x + 3y = -5
-(2) + 3 (-1) = -5
-2 – 3 = -5
-5 = -5

6. Check the point and see if it’s a solution to the system of linear equations.
x + y = -2 2) x – y = 2
2x – 3y = x + y = 4
(-2, 1) (3, 1)
x + y = 4 4) x – y = 5
2x + y = x + 3y = 0
(1, 0) (3, -2)

7. Homework
Page 152 #5-6, 45-47, 54
Page #1-4, All