Answer:
B) 25 / 8
Step-by-step explanation:
We know that pi = 3.14*, or "3 and a little bit more". 25/8=3.125 which is approximately pi.
Answer:
True
Explanation:
First of all its necessary remember that a linear system is a compound of multiple equations that involve variables.
<h2>Existence:</h2>
Depending on the number of equations and the number of variables, you could determine if the linear system has a solution or not. There are 3 possibilities:
- If the linear system has more equations than variables could exist infinite answers.
- If the linear system has more variables than equations, it is considered an undetermined system and you neer more information to solve it.
- If the linear system has the same number of equations and variables, the system is consistent and has at least one solution.
<h2>
Uniqueness:</h2>
If possibility 3 is presented, it becomes necessary know if its the only one solution or exists more than one solution.
Rgds.
Answer:
Step-by-step explanation:
Points
We are given with three equations and three unknowns and we need to solve this problem. The solution is shown below:
Three equations are below:
3x + 4y - z = -6
5x + 8y + 2z = 2
-x + y + z = 0
use the first (multiply by +2) and use the second equation:
2 (3x+4y -z = -6) => 6x + 8y -2z = -12
+ ( 5x + 8y +2z = 2)
------------------------
11x + 16y = -10 -> this the fourth equation
use the first and third equation:
3x + 4y -z = -6
+ (-x + y + z =0)
-------------------------
2x + 5y = -6 -> this is the fifth equaiton
use fourth (multiply by 2) and use fifth (multiply by -11) equations such as:
2 (11x + 16y = -10) => 22x + 32y = -20 -> this is the sixth equation
-11 (2x + 5y = -6) => -22x -55y = 46 -> this is the seventh equation
add 6th and 7th equation such as:
22x + 32y = -20
+(-22x - 55y = 66)
---------------------------
- 23y = 46
<span> y = -2
solving for x, we have:
</span>2x + 5y = -6
2x = -6 - 5y
2x = -6 - (5*(-2))
2x = -6 +10
2x = 4
x=2
solving for y value, we have:
-x + y + z =0
z = x -y
z = 2- (-2)
z =4
The answers are the following:
x = 2
y = -2
z = 4
