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)
Answer:
2 cups of flour : 1 cup of shortening
Step-by-step explanation:
So lets gather our information.
We know it takes 6 cups of flour for the reciepe.
We also know it takes 3 cups of shortening.
To find the ratio, put the two number values in a fraction:
cups of flour/cups of shortening
=
6/3
This says for 6 cups of flour, there are 3 cups of shortening
We can simplyfy this to:
2/1
This says for 2 cups of flour, there is 1 cup of shortening.
<u>Answer:</u>
<u>2/1</u>
Hope this helps! ;)
Answer: No Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
If it is not proportional, it will not cross the origin (I remember this data from the other question you posted). Hope this helps, please consider making me Brainliest.
5, 20, 80, 320, 1280, 5120, 20480, 81920, 327680, 1310720, 5242880, 20971520
The 12th term would be 20,971,520
Everything is being multiplied by 4 each time
Step-by-step explanation:
f(x) = x + 1
g(x) = -3x
h(x) = 5-x
find fogoh
first we find fog
f(g(x)) = -3x + 1
then we find fogoh = -3(5-x ) +1
= -15 + 3x +1
= 3x -14
