<u>Answer:</u>
(x, y) = (-2, 2)
<u>Step-by-step explanation:</u>
We are given the following two equations which we are to solve using the substitution method:
--- (1)
--- (2)
From equation (1):
Substituting this value of x in (2) to get:
![x = [tex]x - 2y = -6\\\\(y-4)-2y=-6\\\\-y=-6+4\\\\-y=-2](https://tex.z-dn.net/?f=x%20%3D%20%5Btex%5Dx%20-%202y%20%3D%20-6%5C%5C%5C%5C%28y-4%29-2y%3D-6%5C%5C%5C%5C-y%3D-6%2B4%5C%5C%5C%5C-y%3D-2)
[/tex]
y = 2
Substituting the value of y in (1) to get x:
x = -2
Therefore, (x, y) = (-2, 2).
She gets $20 per week allowance.......she babysits 2 hrs a week at 5.50 per hr.....so she gets (2 * 5.50) = $ 11 per week from babysitting...so she is making a total of (20 + 11) = $ 31 per week. But she pays 2.50 a week for school lunch.......so she is basically making (31 - 2.50) = 28.50 per week.
28.50w < = 149.99
w < = 149.99 / 28.50
w < = 5.26 weeks....but if u need it rounded, it would take her approximately 6 weeks....because 5 weeks wouldn't be enough time
The answer choice is C, because the problem is asking for the outcome of either one of the answers. Then you just add them together and the answer is 0.5+0.3=0.8. Hope this helped!
Answer:
D or B???
Step-by-step explanation:
Answer:
y ≤ 2x + 4 and x + y ≥ -6
Step-by-step explanation:
Graphing a system of inequalities is similar to graphing linear functions. It is best to have equations in the form of y = mx + b where m = slope and b = y-intercept. Looking at the graph, you can see that there is one line going uphill (positive slope) and one going downhill (negative slope). There are two y-intercepts, one from each line at (0,4) and (0, -6) So, only the top two equations have a y-intercept equal to 4 and -6. Then, you can find the slope of each line by choosing two points on the same line and using rise/run to find the change in 'y' over the change in 'x'.
Line #1 (uphill): (-2, 0) and (0, 4) = 4-0/0- -2 = 4/2 = 2
The only answer with a positve 2 slope and y-intercepts of 4 and -6 is the second one, so that is your answer.
