Solve By Any Method
Solve By Substitution
Solve By Elimination
Solve by Any Method
Vocubulary
100

-x +3y = 12

x +3y = 6

What is (-3,3)

100

x - y=0

y =2x+2

What is (-2,-2)

100

x+y =-2

x-y = -4

What is (-3,1)

100

x +y = 16

x - y = 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

x - y = -1

y = 4x-5

What is (2,3)

200

4x+5y=22

-6x+5y =-8

What is (3,2)

200

x + y = 16

y=-x+4

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

x+ y = 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,-1)

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

y =-x + 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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