Answer:
<em>(a) x=2, y=-1</em>
<em>(b) x=2, y=2</em>
<em>(c)</em> 
<em>(d) x=-2, y=-7</em>
Step-by-step explanation:
<u>Cramer's Rule</u>
It's a predetermined sequence of steps to solve a system of equations. It's a preferred technique to be implemented in automatic digital solutions because it's easy to structure and generalize.
It uses the concept of determinants, as explained below. Suppose we have a 2x2 system of equations like:

We call the determinant of the system

We also define:

And

The solution for x and y is


(a) The system to solve is

Calculating:





The solution is x=2, y=-1
(b) The system to solve is

Calculating:





The solution is x=2, y=2
(c) The system to solve is

Calculating:





The solution is

(d) The system to solve is

Calculating:





The solution is x=-2, y=-7
Answer:
30 miles
Step-by-step explanation:
In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:
(56 1/4 mi)/(1 7/8 gal) = 30 mi/gal
The vehicle can travel 30 miles per gallon of gas.
_____
My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.
(56 1/4)/(1 7/8) = (225/4)/(15/8)
= (225/4)·(8/15) = (225/15)·(8/4)
= 15·2 = 30
Slope-Intercept Form: y = <span><span><span>8/3</span>x </span>+ <span><span>−5/</span><span>3</span></span></span>
Tthe answer is 3. 3=S 4 x 3 + 1 = 13
Answer:

Step-by-step explanation:
Given
See attachment for model
Required
Determine
from the model
The model is represented by:

To get:
, we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 36 ---- this represents the numerator
So, we have:

To get:
, we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator
So, we have:

The equation becomes:



