Find the X-value
Find X:
-2y + 15x= -24
2y + 9x= -24
What is -2
Find Y:
-7y -4x= 1
7y -2x= 53
What is -5
A set of two or more equations
What is system of equations?
What is the solution:
2x - 3y =6
-4x - 6y = -12
What is Infinitely Many Solutions?
What is the 1st step in solving a system of equations using elimination?
Choose a variable to eliminate
Find X:
-7y -4x= 1
7y + 9x= -24
What is -9
Find Y:
-2y + 15x= -24
2y + 9x= -24
What is -3
DAILY DOUBLE!!
What does it mean if your solution is:
"Infinitely Many Solutions"
Where your lines overlap or are on top of each other
DAILY DOUBLE!!
What is the solution:
-3x + y = 1
6x - 2y =5
What is No Solution?
What is the 2nd step in solving a system of equations using elimination?
Multiply one or both of the equations by a factor such that one of the variables has the same coefficients but have opposite signs
Find X:
-9y + 4x= 6
9y + 5x= -33
What is -2
Find Y:
-6y + 11x= -36
-4y + 7x= -12
What is -60
What does it mean if your solution is:
"No solution"
Where the lines are parallel and will never cross
What is the solution:
7x + 4y = 2
9x - 4y = 30
What is (2, -3)
DAILY DOUBLE!!
What is the 3rd step in solving a system of equations using elimination?
Add the equations and solve for the remaining variable
DAILY DOUBLE!!
Find X:
-4x + 4y =8
9x - 8y= -13
What is 3
Find Y:
-6x -2y= -4
-12x -5y= -1
What is 5
A symbol or number that we do not know yet.
What is a Variable
What is the solution:
-10x - 4y = 4
-5x - 2y = 2
What is Infinitely Many Solutions
What is the 4th step in solving a system of equations using elimination?
Substitute the answer you got back into one of the original equations to solve for the other variable
Find X:
7x + y= 13
28x + 4y= -12
What is no solution
Find Y:
-6x + 8y= 2
6x -5y= -8
What is -2
What is a linear equation?
What is:
A linear equation is an algebraic equation that has a constant rate of change or slope (y=mx+b)
What is the solution:
-7x - 3y = -19
4x - 3y = 25
(4,-3)
What is the 5th step in solving a system of equations using elimination?
Write your answer as an ordered pair or a sentence if it is a word problem