Solve By Graphing
Solve By Substitution
Solve By Elimination
Solve by Any Method
Vocubulary
100
y = 1/3 x + 4 y = -1/3 x +2
What is (-3,3)
100
y=x y =2x+2
What is (-2,-2)
100
x+y =-2 x-y = -4
What is (-3,1)
100
The sum of two numbers is 16. Their difference is 2.
What is 7 and 9
100
Solution of a System of Equations
What is the point where the two lines intersect?
200
y = -1 y = -5/4 x +4
What is (4,-1)
200
y = x+1 y = 4x-5
What is (2,3)
200
4x+5y=22 -6x+5y =-8
What is (3,2)
200
The difference of two numbers is 4. Their sum is 16.
What are 10 and 6?
200

The solution when 2 lines are parallel.

no solution

300
y = 5x-2 y = -x+2
What is (-1,3)
300
4x-2y=4 y=4x+2
What is (-2,-6)
300
10x +7y =-3 8x+7y =-15
What is (6, 9)
300
x + 10y =-28 -x -8y =24
What is (-8 ,-2)
300
The first step for solving a system of equations by substitution.
What is solve one equation for one of the variables?
400
-4x-y =-4 y = -3x+5
What is (-1,8)
400
y = -6x-3 6x-5y=-21
What is (-1,3)
400
-3x-3y = -9 5x+12y =-13
What is (7,-4)
400
y = -x-2 y = 2x+1
What is (1,-3)
400

Get both equations in standard form.

What is the step for solving a system of equations by elimination?

500
x-2y=-8 3x+y=-3
What is (-2,3)
500
x-3y =9 x+y =1
What is (3,-2)
500
10x + 20y =20 16x+32y=16
What is no solution?
500
7x-7y =-7 y = -6x +22
What is (3,4)
500
A system of equations has infinitely many solutions.
What happens when one equation is a multiple of the other equation in the system?
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