Graphing Systems
Graph the system of equations.
y=-3/2x + 5
y=-2/3x +5
Solution:
(0, 5)
Use ELIMINATION to solve each system of equations.
-x + y = 7
x + y = 1
(-3, 4)
Use elimination to solve the system of equations
x + y = 2
-3x + 4y = 15
( 1 , -3 )
Solve the system using substitution.
15x - 3y = 12
y = 5x - 4
Infinitely many solutions.
DOUBLE POINT QUESTION!
How may solutions does the system of equations have?
3x + 5y = 8
3x + 5y = 1
DOUBLE POINT QUESTION!
Does the below system of equations have
One solution, No solution or Infinitely Many solutions?
x+y=4
3x+3y=12
INFINITE MANY
Use ELIMINATION to solve each system of equations.
-4x + 5y = 17
4x + 6y = -6
(-3 , 1 )
Use elimination to solve the system of equations.
2x + 5y = 11
4x + 3y = 1
( -2 , 3 )
DOUBLE POINT QUESTION!
Use substitution to solve the system of equations.
y = 5x - 7
y = 4x - 1
x = 6, y = 23
Solve each system of inequalities by graphing.
y<6
y>x+3
Indicate 1 point that would be included in the solution
(0,5) (-1,3) (there are many others)
State whether the systems of equations is
ONE SOLUTION, NO SOLUTION or INFINITE MANY
2x + y = 4
y = -2x -2
no solution
DOUBLE POINT QUESTION!
Use ELIMINATION to solve each system of equations.
a + 4b = -4
a + 10b = -16
( 4 , 2 )
Use elimination to solve the system of equations.
12x - 3y = -3
6x + y = 1
If you get this question correct, you can go again!
( 0 , 1 )
Solve the system using substitution.
-2x + y = 5
x + y = -1
(-2, 1)
The difference of two numbers is 3 and their sum is 13. What are the numbers?
What are 8 and 5.
DOUBLE POINT QUESTION!
Graph the system of equations.
2x + 5 = y
4x + 10 = 2y
Infinite many solutions.
Solve using elimination. If you get this problem correct, you can have another turn!
2x + y = -8
x - y = 2
( -2 , -4 )
2x + 3y = 13
x + y = 7
Use elimination to solve the system of equations.
( 8 , -1 )
Solve the system using substitution.
2x + y = -15
y - 5x = 6
(-3, -9)
DOUBLE POINT QUESTION!
You need at least 3 lbs of fruit to make muffins. Blueberries cost $4 per lb and and strawberries cost $3 per lb. And you can spend at most $21.
Write and graph a system of inequalities. Identify one solution that includes both kinds of berries.
x + y > = 3
4x + 3y < = 21