Random
Graphing
Substitution
Substitution
100
To solve a system of equations by graphing, what form must the equations be in?
Slope-intercept
100
Solve Using Graphing:
y = -3
y = 5/3x + 2
100
To solve a system of equations by substitution we need to get what by itself?
One variable
100
Solve the following by substitution
x=4y
x+y =10
(8,2)
200
What is the first step when solving a system of equations by substitution?
solve for x or y
200
Solve the systems of linear equations by graphing:
200
Solve the systems of equations using substitution
x=-3
x - 3y=-15
(-3,4)
200
Solve the following by substitution
x+y =5
2x+3y = 20
(-5,10)
300
What does it mean for there to be infinite many solutions?
Equations have the same slope and are the same exact line
300
What is the solution?
(-1,1)
300
Solve the systems of equations using substitution:
y = 6x
2x + 3y=-20
(-1,-6)
300
Solve by Substitution
3x+3y = 12
y=4
(0,4)
400
What does it mean for there to be No Solution?
The two lines will never intersect
400
How many solutions are there?
No Solutions
400
Solve the systems of equations using substitution:
x=4y
x+2y=12
(8,2)
400
Use Substitution to solve each system of equations.
8x+ 12y = 20
-8x - 12y = -20
infinite solutions
500
When using the substitution method, what it look like to solve for x in the first equation?
5x +5y = 10
8x + 4y = 0
x=2-y
500
How many solutions are there?
Infinitely Many Solutions
500
Use substitution to solve the following system of equations.
y = -2x + 3
8x + 4y =12
infinitely many solutions
500
Use Substituion to solve each system of equations.
x + y = 4
2x - 5y = 15
(5,-1)