You have 2 options.
I will show you the most efficient one, but later I will tell you the other.
-4x+6y=12
6y=4x+12
y=4/6x+12
y=2/3x+12
This tells us the point (0,12) as 12 is where it meets the y-axis (that is why you add it)
And then using the slope, 2/3 we can get (2,15) (which is up 3, right 2)
Just graph those, I would show you exactly, but I cannot add attachments sadly.
The other way (which I won’t show it all as the results would end out with the same line) is to fill in x, then y, with 0
So -4*0+6y=12 which means x=0 and you are solving for y and -4x+6*0=12 which means y=0 and you are solving for x
Answer:
Given :An Internet survey was e-mailed to 6977 subjects randomly selected from an online group involved with ears. There were 1337 surveys returned.
To Find : Use a 0.01 significance level to test the claim that the return rate is less than 20%.
Solution:
n = 6977
x = 1337
We will use one sample proportion test
We are given that the claim is the return rate is less than 20%.
Formula of test statistic = 
= 
= 
Refer the z table
P(z<-1.85)=0.0332
Significance level = 0.01=α
Since p value > α
So, we accept the null hypothesis .
So,the claim that the return rate is less than 20% is false.
Given:
63 tickets were sold.
Money collected = $742.
Evening tickets cost $14 each.
Matinee tickets cost $10 each.
Let
x = number of evening tickets sold
y = number of matinee tickets sold
Then
x + y = 63 (1)
14x + 10y = 742 (2)
From (1), obtain
y = 63 - x (3)
Substitute (3) into (2).
14x + 10(63 - x) = 742
4x + 630 = 742
4x = 112
x = 28
y = 63 - 28 = 35
Answer: 28 evening and 35 matinee tickets were sold.
X + 6 = 8 + 7x
First, use the equality property to move the variable x to one side.
x + 6 = 8 + 7x
-x -x
You are left with: 6 = 8 + 6x
Use the equality property again
6 = 8 + 6x
-8 -8
-2 = 6x
Divide each side by 6: and your solution is -2/6, which simplifies to -1/3
In this example, Lisa is correct
