Answer:
(2,4)
Step-by-step explanation:
We have the system:
y=x+2
y=3x-2.
This is already setup for substitution.
I'm going to replace my first y with what the second y equals.
That is, I'm going to write 3x-2=x+2.
Time to solve the following for x:
3x-2=x+2
Subtract x on both sides:
2x-2= 2
Add 2 on both sides:
2x. = 4
Divide both sides by 2:
x. = 2
Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.
So we y=x+2 with x=2 which means y=2+2=4.
So the solution, the intersection, is (2,4).
Answer:
21
Step-by-step explanation:
Answer: 0.0158
Step-by-step explanation:
Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.
According to the given information we have,
Sample size : n= 1000
Sample proportion: 
The standard error for proportion is given by :-
[Rounded to the nearest four decimal places.]
Hence, the standard error for the confidence interval = 0.0158
Rise over run is -2/4 or simplified as -1/2
The second one is
Answer:
y = 23
x = -4.5
Step-by-step explanation:
Given:
Equation
8x + y = -13 ......eq1
8x + 2y = 10........eq2
Find:
Solution
Computation:
Eq2 - Eq1
y = 23
From eq1
8x + y = -13
8x + 23 = -13
8x = -36
x = -4.5
