Answer:
x = 3
y = 2
Step-by-step explanation:
3x + 2y = 12
-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2
<em>2 * 3x + 2y = 12</em>
<em>6x + 4y = 24</em>
<u>3 * -2x + 3y = 5</u>
<u>-6x + 9y = 15</u> now find the sum of both equation:
<em>6x + 4y </em><u>-6x + 9y</u> = 24 + 15 add like terms
13y = 39 divide both sides by 13
y = 3 now that we found the value of y we can use this to calculate the value of x
3x + 2y = 12 replace y with 3
3x + 2*2 = 12
3x + 4 = 12 subtract 4 from both sides
3x = 9 divide both sides by 3
x = 3
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
If you would like to know how much money you must save for an emergency fund of 6 months, you can calculate this using the following steps:
36% of $3,076.45 = 36% * 3,076.45 = 36/100 * 3,076.45 = $1,107.522
6 months * $1,107.522 = 6 * 1,107.522 = $6,645.132
The correct result would be $6,645.132.
