The given system is
![\mleft\{\begin{aligned}2x+y=20 \\ 4x-2y=40\end{aligned}\mright.](https://tex.z-dn.net/?f=%5Cmleft%5C%7B%5Cbegin%7Baligned%7D2x%2By%3D20%20%5C%5C%204x-2y%3D40%5Cend%7Baligned%7D%5Cmright.)
To solve this, we multiply the first equation by 2, then we sum equations.
![\mleft\{\begin{aligned}4x+2y=40 \\ 4x-2y=40\end{aligned}\mright.\rightarrow8x=80](https://tex.z-dn.net/?f=%5Cmleft%5C%7B%5Cbegin%7Baligned%7D4x%2B2y%3D40%20%5C%5C%204x-2y%3D40%5Cend%7Baligned%7D%5Cmright.%5Crightarrow8x%3D80)
Then, we divide the equation by 8.
![\begin{gathered} \frac{8x}{8}=\frac{80}{8} \\ x=10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B8x%7D%7B8%7D%3D%5Cfrac%7B80%7D%7B8%7D%20%5C%5C%20x%3D10%20%5Cend%7Bgathered%7D)
Now, we use this value to find <em>y</em>.
![\begin{gathered} 2x+y=20 \\ 2(10)+y=20 \\ 20+y=20 \\ y=20-20 \\ y=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%2By%3D20%20%5C%5C%202%2810%29%2By%3D20%20%5C%5C%2020%2By%3D20%20%5C%5C%20y%3D20-20%20%5C%5C%20y%3D0%20%5Cend%7Bgathered%7D)
<h2>Therefore, the solution to the system is (10, 0).</h2>
Answer:
100$
Step-by-step explanation:
In a geometric sequence, the numbers are found by multiplying each number by a fixed amount called a common ratio(r).
a1....this is ur first number....so since a1 = 3, ur first number is 3...and to find ur next numbers, multiply each number by r, the common ratio (which equals 0.5)
first number = 3.......3 x 0.5 = 1.5
second number = 1.5......1.5 x 0.5 = 0.75
third number = 0.75
si the first 3 terms are : 3, 1.5, 0.75
Answer:
A) added to both sides of the equation
Step-by-step explanation:
Answer:
Percentage Rate=6%
Step-by-step explanation:
Total borrowed=$2,100
Time=3 years
Rate=?
Total amount owed after 3 years= total borrowed + simple interest
$2,478=$2,100 + x
X=$2,478 - $2,100
=$378
The simple interest=$378
Simple interest=P×R×T
Where,
P= principal=$2,100
R=Rate=?
T=Time=3 years
Simple interest=$378
Simple interest=P×R×T/100
$378=$2,100×R×3/100
$378=$6,300R/100
$378=$63R
R=$378/$63
R=6
Therefore,
Rate=6%