Solving Systems of Equations
System of Inequalities
System of Equations in Three Variables
Operations with Matrices
Random
100
4x+3y=24
-3x+5y=30
This system of equations can be classified as consistent and independent, consistent and dependent, or inconsistent.
This system of equations can be classified as consistent and independent, consistent and dependent, or inconsistent.
consistent and independent
100
y>2x-4
x+y≥8
x≤10-y
Does (3,5) satisfy this system of inequalities?
x+y≥8
x≤10-y
Does (3,5) satisfy this system of inequalities?
Yes
100
3x-2y+4z=35
-4x+y-5z=-36
5x-3y+3z=31
Solve the systems of equations.
-4x+y-5z=-36
5x-3y+3z=31
Solve the systems of equations.
(-1,-5,7)
100
Solve the equation
100
At a park, there are 38 people playing tennis. Some are playing doubles, and some are playing singles. There are 13 matches in progress. A double match requires 4 players and some are playing singles match requires two players. How many of each matches are going on?
There are 6 doubles matches and 6 single matches.
200
5x-3y=23
2x+y=7
Solve the system of equations.
Solve the system of equations.
x=4 and y=-1
200
y>2x+8
y<2x-10
What is the solution?
y<2x-10
What is the solution?
There is no solution
200
-6a+9b-12c=21
-2a+3b-4c=7
10a-15b+20c=-30
Solve the system of equation.
-2a+3b-4c=7
10a-15b+20c=-30
Solve the system of equation.
no solution
200
Solve the equation
200
-x≥-8
3x+6y≤36
2y+12≥3x
f(x,y)= 10x-6y
Find the minimum and maximum of the given functions.
3x+6y≤36
2y+12≥3x
f(x,y)= 10x-6y
Find the minimum and maximum of the given functions.
Max= 42 at (6,3) Min = -140 at (-8,10)
300
5x+3y=-19
8x+3y=-25
What is solution to systems of equations?
What is solution to systems of equations?
(-2,-3)
300
y≥3x-7
y≤8
x+y>1
Find the coordinates of the vertices of the triangle formed by each system of inequalities.
(2,-1),(5,8),(-7,8)
300
4a+5b-6c=2
-3a-2b+7c=-15
-a+4b+2c=-13
Solve the system of equation.
-3a-2b+7c=-15
-a+4b+2c=-13
Solve the system of equation.
(-3,-2,-4)
300
Solve the equation
300
2x-y=14
3x-y+5z=0
4x+2y+3z=-2
Solve the system of equations.
3x-y+5z=0
4x+2y+3z=-2
Solve the system of equations.
(5,-5,-4)
400
Rick has a total of 40 dimes and quarters. The total value of the coins is $7.75. How many dimes does he have?
15 dimes
400
y≤5
x≤4
y≥-x
f(x,y)=5x-2y
Find the maximum and minimum values of the given function for this region.
x≤4
y≥-x
f(x,y)=5x-2y
Find the maximum and minimum values of the given function for this region.
max=28, min = -35
400
5x+4y-5z=-10
-4x-10y-8z=-16
6x+15y+12z=24
Solve the system of equation.
-4x-10y-8z=-16
6x+15y+12z=24
Solve the system of equation.
There are infinite solutions
400
Multiply X and Y
400
x≥0
y≥0
6x+24y≤5184
x+y≤300
f(x,y)=8x+12y
Find the maximum.
y≥0
6x+24y≤5184
x+y≤300
f(x,y)=8x+12y
Find the maximum.
Max=3152 at (112,188)
500
The Montague family paid $180 for 2 adult tickets and 3 child tickets to an amusement park. The Andon family paid $105 for 1 adult and 2 child tickets to the same park. What is the price of a child ticket?
$30
500
-8≤x≤16
y≥2x-10
2y+x<80
f(x,y)=12x+15y
Find the maximum and minimum values of the given function for this region.
y≥2x-10
2y+x<80
f(x,y)=12x+15y
Find the maximum and minimum values of the given function for this region.
max=672, min=-486
500
Three children bought doughnuts at a local bakery. Morty spent $16.50 on 3 glazed, 2 sprinkled, and 1 powdered doughnut. Summer spent $26 on 4 glazed, 4 sprinkled, and 2 powdered doughnuts. Jerry spent $13.75 on 2 glazed, 1 sprinkled and 3 powdered. Find the price of a powdered doughnut.
$1.50
500
Solve the equation
500
Jerome downloaded some television shows. A sitcom is 0.3 gigabyte; a drama, 0.6 gigabyte; and a talk show, 0.6 gigabyte. She downloaded 7 programs totaling 3.6 gigabytes. There were twice as many episodes of the drama as the sitcom. How many episodes of each did she download?
2 sitcoms, 4 dramas, and 1 talk show