Solve By Graphing
y = 1/3 x + 4
y = -1/3 x +2
What is (-3,3)
y=x
y =2x+2
What is (-2,-2)
x+y =-2
x-y = -4
What is (-3,1)
What is the Solution of a System of Equations?
The point where the two lines intersect
The x and y value that makes both equations true
y = -1
y = -5/4 x +4
What is (4,-1)
y = x+1
y = 4x-5
What is (2,3)
4x+5y=22
-6x+5y =-8
What is (3,2)
How do we write the solution of a system of equations?
Or x = # and y=#
y = 5x-2
y = -x+2
What is (-1,3)
4x-2y=4
y=4x+2
What is (-2,-6)
10x +7y =-3
8x+7y =-15
What is (6, 9)
What is the first step for solving a system of equations by substitution.
Solve one equation for one of the variables.
Isolate the one variable
-4x-y =-4
y = -3x+5
What is (-1,8)
y = -6x-3
6x-5y=-21
What is (-1,3)
-3x-3y = -9
5x+12y =-13
What is (7,-4)
Get both equations in standard form.
Line up the x's and y's on the same side.
What is the step for solving a system of equations by elimination?
x-2y=-8
3x+y=-3
What is (-2,3)
x-3y=9
x+y =1
What is (3,-2)
10x + 20y =20
16x+32y=16
What is no solution?
When does a system of equations have no solution?
When you graph the lines and they are parallel (never cross).