Answer:

Step-by-step explanation:
Let x be the distance driven, d-distance and C our constant.
Our information can be presented as:

#Subtracting equation 2 from 1:

Hence the fixed cost per mile driven,
is $0.20
To find the constant,
we substitute
in any of the equations:

Now, substituting our values in the linear equation:
#y=cost of driving, x=distance driven
Hence the linear equation for the cost of driving is y+0.2x+284
Answer:
3 1/8 or 3.125.
Step-by-step explanation:
First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!
Using the equations y-3x=3 and x+y=31 you can find that x=7 and y=24. There for x is the smaller of the two numbers.
Answer:
x = -2 and y = 3
Step-by-step explanation:
It is given that,
4x + 5y = 7 -----(1)
3x – 2y = –12 ----(2)
<u>To find the value of x and y</u>
eq(1) * 3 ⇒
12x + 15y = 21 ----(3)
eq(2) * 4 ⇒
12x - 8y = -48 ---(4)
eq(3) - eq(4) ⇒
12x + 15y = 21 ----(3)
<u>12x - 8y = -48 </u> ---(4)
0 + 23y = 69
y = 69/23 = 3
Substitute the value of y in eq(1)
4x + 5y = 7 ----(1)
4x + 5*3 = 7
4x = 7 - 15 = -8
x = -8/4 = -2
Therefore x = -2 and y = 3