Solve the System
3u + z = 15 when u = 4 what is z?
z = 3
How many solutions does the following system have?
2x - 2y = 4
x - y = 2
Infinitely Many Solutions
What does a system of linear equations with no solutions look like?
Two Parallel Lines
This word is used to describe "replacing" a number into an equation for a variable.
Substitute
y = 6x - 11 -2x - 3y = -7
(2,1)
How many solutions does the following system have?
y = 3/4 x + 5
3/4 x - y = -5
Infinitely Many Solutions
When graphing a system of linear equations, the first step before actually graphing is to do what?
Get "y" by itself.
The solution to a system of equations is written as an
_____________ _______.
ordered pair
-4x-2y=-12 4x+8y=-24
(6,-6)
1/2x + y = 7
2/4x + y = 8
No solution
What point should you plot first when graphing an equation?
The y intercept
How should your answer be written when solving a system of equations?
An ordered pair.
What would you multiply the 2nd equation by to eliminate x?
6x - 5y = 27
3x + 10y = -24
What is -2
How many solutions are there using these systems
y=2x+5
y=3x+9
(-4,-3)
Graph the following systems of equations and identify the solution.
4x-2y=10
y=-2x-1
(1,-3)
Leslie joins a fitness club that has a membership fee of $20 plus $15 per month. Rashad's club has a fee of $40 and charges $10 per month. Write a systems of equations to represent this situation. DO NOT SOLVE.
y=15x+20
y=10x+40