Answer: a11 = 3, a12 = 7, a21 = 1, a22 = -4
<u>Explanation:</u>
3x + 7y = 20
x - 4y = 9
A = ![\left[\begin{array}{ccc}3&7&20\\1&-4&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%267%2620%5C%5C1%26-4%269%5Cend%7Barray%7D%5Cright%5D)
<u>column 1 </u> <u>column 2</u>
row 1: (a11) 3 (a12) 7
row 2: (a21) 1 (a22) -4
8-9y=35
1. Subtract 8 from 35
35-8 = 27
2. divide -9y = 27
-9y = 27
-9y -9
3. Y= -3
Answer: It is equivalent to a reflection over the y-axis.
Step-by-step explanation:
We start with the function:
f(x) = m*x + b
where the slope is m.
If we only multiply the slope by -1, the function becomes:
f(x) = -m*x + b
There is a transformation called a reflection over the y-axis.
This works as follows, if we have a function f(x), a reflection over the y-axis is written as:
g(x) = f(-x)
If we apply this to our function, we get:
g(x) = f(-x) = m*(-x) + b
g(x) = -m*x + b
Then we can conclude that:
"When the slope m is multiplied by -1 in f(x)=mx+b, it is equivalent to a reflection over the y-axis"
Step-by-step explanation:
multiplying eq 1 by 4and eq 2 by 3 ,we get
-12x+4y=28
-12x+12y=-36
solving eq 1and 2
4y-12y=64
-8y=64
y=-8
x=-5