7.1/7.2
When you have a solved variable, does it matter what equation you plug it back into to solve for the other?
NO
If they have the same sign and same number, you do the ________________ method
Subtraction
The multiplication leads into the _________ and _________ methods.
addition, subtraction
What side do you always shade?
The True side
Have I been jet skiing?
Yes
How many solutions does an inconsistent system have?
None
What method would you use to solve the following system of equations:
-5g+19y=-3
17y+5g=2
Addition
Are the following statements true?
We can multiple any equation we want.
We can only multiple one equation.
The first one is, but not the second. You multiple both equations at the same time.
If it is a dashed line, what symbols do you use in your inequality?
< or >
Who killed my dog?
My dad
Consistent dependent means there are __________ solutions
Infinite
Did this person do the subtraction method correctly?
-4y+5a=12 ----> -4y+5a=12
-4y+12a= -9 4y-12a= 9
Yes. They multiplied the second equation by -1.
By what number and which equation should they multiple?
9g-7j=2
-3g+12j=4
The bottom equation by 3 or -3. (3 is easier though)
What does a test point tell you?
Which side is true or false.
How many nephews and nieces do I have?
6
How many solutions does the system have?
y= -3x+5
y=-1/3x-7
One
Solve the system of equations using substitution:
-2f-4w=20
5f+4w=-50
f= -10
w=0
By what number and which equation should they multiple?
3q-5t=0
2q+6t=1
Top by -2 or 2
AND
Bottom by -3 or 3.
Can there ever be a system with no solutions? What would it look like?
Yes. Parallel lines with shading on opposite sides
What type of car do I own?
Ford Focus
Using substitution, solve the following system of equations:
x=2y-1
3x-4y=9
x=11
y=6
-10e+3b=10
6e+3b=18
e = 1/2
b=5
Solve using the multiplication method:
8k-5t= -37
4k+3t=31
k = 1
t = 9
On a graph of a system of inequalities, what part of the graph do we ACTUALLY care about?
Where the shaded regions overlap.
What are the five colors of button ups I own?
Blue, red, pink, grey, purple