If we graph the system, we can see that the intersection of both lines (which is the solution of the system) occurs in
(x,y) = (3,5)
Verifying this solution
y = x+2.............>y = (3) +2 =
5y = -x +8 .........> y = -(3) +8 =
5
If they are proprtional which is what the ~ means then
BA/AC=ED/CD
42/x=6/(32-x)
solve
divide both sides by 6
7/x=1/(32-x)
multiply both sides by (x)(32-x)
7(32-x)=x
distribute
224-7x=x
add 7x to both sides
224=8x
divide both sides by 8
28=x
x=28
You kneed to find the slope of the line to make one parallel to it. you can do so by using the 2 coordinates they gave you: (-4, 0) and (4, -4).
Slope is change in y divided by the change in x.
The 'Y' changed from 0 to -4, so it went down 4.
The 'X' changed from -4 to +4, so it went up 8.
(-4)/(8) is -1/2.
You can put this into the slope-intercept formula (y = mx + b) to get y = -1/2x + b. This is not the full equation, however. To get there, insert the point that the new line needs to go through into this formula and solve for b.
The point is (2, 3), so x = 2 and y = 3.
(3) = -1/2(2) + b
3 = - 1 + b
+1 +1
4 = b
This means that the equation you need is y = -1/2(x) + 4
Answer (3dp):
107.058
Step-by-step explanation:
(image is explanation)
City: 10 + 3.5g
Central: 22 + 2.5g
10 + 3.5g = 22 + 2.5g
g = 12
12 game rentals
10 + 3.5(12) = 52
22 + 2.5(12) = 52