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Solve By Graphing
Solve By Substitution
Solve By Elimination
Solve by Any Method
Vocabulary
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 areas where the two shaded regions overlap.
Where is the solution for a system of inequalities?
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?