Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
<em>This</em><em> </em><em>is</em><em> </em><em>to</em><em> </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>z</em><em> </em><em>term</em><em>.</em>
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
<em>Divide</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
<em>This</em><em> </em><em>is</em><em> </em><em>to</em><em> </em><em>eliminate</em><em> </em><em>z</em><em> </em><em>term</em><em>.</em>
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
<em>Divide</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>throughout</em><em>.</em>
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
N = number of people = constant
number of people who have adopted the new technology: x(t) = x
number of people who have not adopted the new technology: n - x
proportionality constant: k
dx / dt = kx(1-x)
x(0) = 0 (this is at t = 0, 0 people have adopted the new technology)
13 gal 1 qt
There are 4 qts in a gal. Because of this, you can find the number of gal in a qt by dividing the qt by 4:
53/4=13.25
Answer: 190,000 pounds
Step-by-step explanation:
Amount won by Gail= 500,000
Amount spent on sports car= 120,000
Money left = Amount won minus amount spent on sports car
= 500,000 - 120,000
= 380,000
Then she spends half of the amount left on her apartment
= 1/2 of 380,000
= 1/2 × 380,000
= 190,000
Her apartment costs 190,000 pounds
Hi there!
I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!
So, the steps are:
Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.
This is what it should look like.
Now, what is 2 times 2? You can use a calculator for this part.

Now, we can get to the last part, my favorite one!
Simplify
down to
.
How did we do it? EASY!
See what number does evenly into both numerators and denominators. In this case, 2 goes into 4 twice, and 2 goes into 6 three times, so we're left with our beautiful answer
.
That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D