Answer:
Given: The following system:
4x + y − 2z=18 ......[1]
2x-3y+3z = 21 ......[2]
x-3y=6 ......[3]
we can write equation [3] as;
3y = x-6 ......[4]
Multiply by 3 in equation [1] to both sides of an equation we get,
or
12x+3y-6z=54 ......[5]
Substituting the equation [4] in [2] and [5] we get;
2x-(x-6)+3z=21 or
2x-x+6+3z=21
Simplify:
x+3z=15 .....[6] [combine like terms]
12x+x-6-6z =54
Simplify:
13x-6z=60 ......[7] [Combine like terms]
On Solving equation [6] and [7] simultaneously,
x+3z=15
13x-6z=60
we get the value of x
i.e, x=6
Substitute the value of x in equation x+3z=15 we get
6+3z=15 or
3z=9
Simplify:
z=3
Also, substitute the value of x=6 in equation [3] we get the value of y;
x-3y=6
6-3y=6 or
-3y = 0
Simplify:
y = 0
Therefore, the solution to the system of three linear equation is, (6, 0 , 3)
Hi,
This is using 'n', so there would be a lot of possibilities, but I would form a circle with the group of people, then each person would shake the person to their right, and then to their right, one time. This method would not vary because a circle can contain even or odd number of people.
Hope this helps!
Answer:
6:13 or 6/13
Step-by-step explanation:
the total number of marbles is 26
the total number of red marbles is 12
6 to 13
6:13 OR 6/13
<em>(I was not sure if I was supposed to leave it as 12:26 or simplify it to 6:13, but I think 6:13 is more reasonable since it is asking for a ration)</em>
67+52+x=180
119+x=180
x=61
hope this helps!
the equation to be used would be x=180-(67+52)
Angles in a parallelogram have to equal 360.
Let x represent the measurement of the unknown angle.
2(55) + 2x = 360
110 + 2x = 360
2x = 250
x = 125
125 degrees
