Equations
Review of Lines
Solve By Graphing
Solve by Substitution
Solve by Elimination
100
When solving systems of equations algebraically which statement results in Infinitely many solutions?
a. x=0
b. 5=3
c. 2=2
d. -6 =6
c. 2=2
100
What expression should be used to solve by substitution?
3x - 4y = 2
x = 2x + 3
2x + 3
100
What is the solution?
(-1,1)
100
What is the solution to this system of equations?
y=-3x+6
y=x + 2
(1,3)
100
What variable would be eliminated if you added these equations together?
14x + 2y = 26
-14x - 6y = -50
The x variable would be eliminated
200
When solving systems of equations algebraically which statement results in Infinitely many solutions?
a. 0=0
b. x=0
c. -5=0
d. 5=0
a. 0=0
200
What is the slope?
2/5
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -3x
(1, -3)
200
What is the resulting equation when adding these equations together?
-3x - 24y = -66
3x + 4y = -14
-20y=-80
300
When solving systems of equations algebraically which statement results in one solution? Choose all that applies.
a. x=12
b. x=0
c. -5=x
d. 2=0
e. 6=6
a. x=12
b. x=0
c. -5=x
300
How many solutions to this system?
y= -3x+4
y = -4x +4
One Solution
300
How many solutions does each graph have and how do you know?
One Solution; The lines cross at only one point.
300
Solve the systems of equations using substitution:
y = 2x
6x -3y = 9
no solution
300
What is the value of x in this system?
15x - 6y = 36
-8x + 6y = -22
x=2
Point is (2,-1)
400
When solving systems of equations algebraically which statement results in no solutions?
a. 0=0
b. 3=0
c. 7=x
d. 4=-4
e. x=0
b. 3=0
d. 4=-4
400
Is (4,5) a solution to the system below?
x + y = 9
-2x + 3y = 7
Yes!
400
When graphed, what is the solution to the following system?
y=4(2x-2)
y=8x-2
No solution - same slope, different y-intercepts
400
Solve the systems of equations using substitution:
-8x - 5y = -24
y = 10 + x
(-2, 8)
400
Solve the systems of equations using Elimination:
3x + 2y = 4
-3x - 3y = -24
(-12,20)
500
How many solutions?
4x - 3y =12
-4x + 3y =-12
Infinitely many
500
Two Gym Membership plans were compared.
When are both plans the same price? How much is the cost?
At 4 months, both will cost $100
500
How many solutions are there? y=2x-3 and -2x+y=-3
Infinitely Many Solutions
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve by elimination. Write your answer as an ordered pair.
3x - 2y = -2
4x - 3y = -4
(2,4)