Systems with Graphs
Solving by Substitution
Solving by Elimination
Writing Equations
Random
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
What is this equation form called?
y = mx + b
Slope Intercept Form
100
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
(4, -1)
200
What is this equation form called?
Ax + By = C
Standard Form
200
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
300
Santiago is going to send some flowers to his wife. Washington Florist charges $1 per rose, plus $41 for the vase. Paul's Flowers, in contrast, charges $2 per rose and $10 for the vase. If Santiago orders the bouquet with a certain number of roses, the cost will be the same with either flower shop.
y = x + 41
y = 2x + 10
300
What strategy would you use?
14x + 2y = 26
-14x - 6y = -50
Elimination
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
A charitable organization in Oakdale is hosting a black tie benefit. Yesterday, the organization sold 81 regular tickets and 54 VIP tickets, raising $13,662. Today, 81 regular tickets and 21 VIP tickets were sold, bringing in a total of $8,976. Write the System of Equations.
81x + 54y = 13,662
81x + 21y = 8,976
400
What is the solution to the system below?
(1, -2)
500
Solve the systems of linear equations by graphing:
(4, -1)
500
Solve the systems of equations:
(Hint: Try Slope Intercept form)
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations:
(2, -1)
500
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. Write the System of Equations.
1.5x + 4y = 5050
x + y = 2200
500
A. What is the first step to solve this equation?
B. What is the solution to the System of Equations
-6y + 2 = -4x
y - 2 = x
First step, substitute the x into the top equation.
(-5,-3)