All about Systems of Equations
Solving by Graphing
Solving by Substitution
Solving by Elimination
How Many Solutions?
100
Give the slope-intercept form for linear equations.
y = mx + b
100
14) What is the solution to the system of linear equations?
(2,2)
100
What is the first step when solving a system of linear equations using the SUBSTITUTION method?
Isolate one variable
100
You m_______ both equations by numbers that will allow you to c_______ the two equations and e_______ one of the variables.
multiply ; combine ; eliminate
100
How many solutions does the system of linear equations have?
One, (-4,-6)
200
True or False:
It does not matter which method you use when solving systems of linear equations because they will all give you the same answer.
True
200
What is the solution?
(-1,1)
200
Use the substitution method to solve the system of linear equations:
y=2x
3x+y=20
Solution: (4,8)
200
Solve the systems of equations using elimination:
2x - y = 10
4x - y = -8
(-9,-28)
200
How many solutions does the system of linear equations have?
y = 3x - 5
y = 3x + 7
Zero or None
300
What does it mean to "find the solution" to a system of linear equations?
It means to find the point of intersection
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y=3x-10
x=2
(2,-4)
300
What do you multiply to y in the first equation to solve it using elimination?
y = -2x - 9
3x -6y = 9
6
300
How many solutions does the system of linear equations have?
y = (-5/3)x + 3
y = (1/3)x - 3
One
400
How many solutions are there if the graph falls on the same line (two coinciding lines)?
Infinitely many
400
Solve the systems of linear equations by graphing:
400
How would you isolate x in this equation?
6y+x=20
subtract 6y from both sides to get:
x=20-6y
400
Solve the systems of equations using elimination:
2x - y = 6
x = y + 5
(1, -4)
400
How many solutions does the system of linear equations have?
y = 3x + 9
2y = 6x + 18
Infinitely many solutions
500
What kind of line will be shown if the system does not have a solution?
parallel lines
500
Solve this by graphing:
2x - y = 4
x + 3y = 3
(3,2)
500
You s_____ one equation for one of the variables, then s_____ the new form of the equation into the other equation for the solved variable.
solve, substitute
500
Use the Elimination method to solve the system of linear equations:
−8x − 10y = 24
6x + 5y = 2
(7,-8)
500
How many solutions does the system of linear equations have?
y = 2x - 5
4y = 8x - 5
Zero or None