Elimination
-6x+6y=-24
6x-5y=14
(-6,-10)
We do this when the numbers in front of the variable we are eliminating have the SAME sign.
Subtract
y=-2x-4
y=-6x
(1,-6)
What variable in the system below should we solve for, and what do we get once we solve for it?
8x+7y=15
x-2y=-1
Solve For x.
x=2y-1
What is it called when I add two terms with the same variable?
Combine Like Terms
9x-3y=-6
9x-4y=-2
(-2,-4)
Which variable will we eliminate in the following system?
4x-3y=10
-9x-3y=-3
-2x+8y=-24
y=2x-10
(4,-2)
What do we get when we substitute x=2y-1 into 8x+7y=15?
8(2y-1)+7y=15
How do we divide by a fraction?
Keep, Change, Flip
5x+3y=11
-5x-6y=13
(7,-8)
We do this when the numbers in front of the variable we are eliminating have OPPOSITE signs.
Add
2x-4y=-6
y=-3x-23
(-7,-2)
What should we do to 8(2y-1)+7y=15 next, and what do we get afterwards?
Distribute
16y-8+7y=15
What is it called when we multiply the 3 into the parentheses in the expression below?
3(x-4)
Distribution
-4x-25y=45
6x-5y=-25
(-5,-1)
In the system below, what variable will we solve for first?
6x+8y=-28
x-8y=-14
x
x-5y=21
8x-2y=16
(1,-4)
What is y equal to in the following equation?
16y-8+7y=15
y=1
What is a graph with multiple points of data called?
Scatter Plot
9x-18y=45
2x-9y=20
(1,-2)
Which variable will we eliminate in the following system, and will we add or subtract the equations?
6x-6y=18
6x+6y=-6
-6x-7y=-10
x+2y=-1
(1,-1)
If y=1 and x=2y - 1, what would our solution be as an ordered pair?
(1,1)
If f(x)=2x-7, then what is f(3)?
f(3) = -1