System of two equations
System of three equations
Absolute Value Equation
Solve using Substitution
Systems by graphing
100
x+y=-1 2x-3y=13
What is x=2 and y=-3
100
2x-y+3z=13 -x-2y+z=6 4x+4y-z=-9
What is x=-1, y=0, z=5
100

|x| + 2 =5

first subtract 2 from both sides to get ∣x∣=3. The solutions are x=−3 or = 3.

100

Solve the system using substitution:

y=2x+7

3x-4y= -13

(-3, 1)

100

What is the solution to the system of linear equations?


(2,9)

200
x+y=3 -2x+3y=-26
What is x=7 and y=-4
200
4x+z=4 -2x-y+7z=2 x+y+z=-3
What is x=1, y=-4, z=0
200

|x| = 4

x = 4 or -4

200

Solve the system of equations using substitution:

-4x+8y= -12

y=5x+21

(-5, -4)

200

What is the solution to the system of linear equations?


No solutions

300
4a-2b=-4 -a+b=1.5
What is a=-1/2 and b=1
300
-2x+y+z=-3 3x+2y+4z=25 x+y+z=6
What is x=3, y=-2, z=5
300

What is the absolute value of −7?

7

300

Solve the system of equations using substitution:

x-y=0

y=3x-2

Solve the system of equations using substitution:

x-y=0

y=3x-2

300


How many solutions do 2x + 3y = 0 and x + 2y = –1 have?

One solution

400
m-5n=18 -2m+n=-7
What is m=3 and n=-1
400
7x+5y-10z=-1 20x-10y+17z=2 x+y+z=- 1/5
What is x=0, y=-1/5 and z=0
400

What does | x | = 5 mean?

∣x∣=5 means that | x |  can be either 5 or −5.

400

Solve the system of equations using substitution:

x=3+2y

4x+2y=12

(3, 0)

500
-x+2y=-6 x-2y=6
What is x=3 and y=-2
500
9x+y-8z=7 -x+2y+z=3 1/4 2x-y-3z=-1 5/22
What is x=1/3, y=2, z=-1/4
500

|x| = 5

What is the value of x

5 ,-5

500

Solve the system using substitution:

y= -8x-24

y=-x+4

(-4, 8)