Answer:
-10
Step-by-step explanation:
Answer:
The amount that Obi initially had was £20
Step-by-step explanation:
Let
x ----> amount that Obi initially has
y ----> amount that Rudy has
we know that

----> equation A


----> equation B
Solve the system by substitution
substitute equation A in equation B

solve for y

Find the value of x

therefore
The amount that Obi initially had was £20
Down because the slope is negative
We make two sets of equations: x + y = 106 and 0.05x + 0.25y = 13.70. I will solve by substitution. Subtract "x" from both sides of x + y = 106 to convert it to slope intercept form, so y = 106 - x. Substitute y = 106 - x into 0.05x + 0.25y = 13.70, so 0.05x + 0.25(106 - x) = 13.70. Solve for 0.05x + 0.25(106 - x) = 13.70, so 26.5 - 0.2x = 13.7, then x = 64. Substitute 64 into x + y = 106, so 64 + y = 106, then y = 42. There is 64 nickels and 42 quarters.
Remember that the general equation of a line is

, where:

is the slope, and

is the y-intercept; so to find the y-intercept, solve for

and identify

.
Now, to find the x-intercept, just replace

in your line equation with

, and solve for

Lets apply those procedures to our two questions:
1. - y-intercept:




Notice that now we have our line equation in the form

with

and

; sine

is the y-intercept, we can conclude that the y-intercept of our equation is 8.
x-intercept:
First, lets replace

with

:

And then, we can solve for

to find our x-intercept:



We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one:
x-intercept is -4; y-intercept is 8.
2. y-intercept:




We can conclude that our y-intercept is 20.
x-intercept:




We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one:
x-intercept is 16; y-intercept is 20.