Solve the following system by the elimination method.1/3x+y=0/3 and 1/6x+1/5y=9/10
1 answer:
Answer:
<h2>x = 9 and y = -3 → (9, -3)</h2>
Step-by-step explanation:
![\left\{\begin{array}{ccc}\dfrac{1}{3}x+y=\dfrac{0}{3}&\text{multiply both sides by 3}\\\\\dfrac{1}{6}x+\dfrac{1}{5}y=\dfrac{9}{10}&\text{multiply both sides by 30}\end{array}\right\\[tex]\left\{\begin{array}{ccc}x+3y=0&\text{multiply both sides by (-2)}\\5x+6y=27\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-2x-6y=0\\5x+6y=27\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad3x=27\qquad\text{divide both sides by 3}\\.\qquad\boxed{x=9}\\\\\text{Put the value of x to the first equation:}\\\\9+3y=0\qquad\text{subtract 9 from both sides}\\3y=-9\qquad\text{divide both sides by 3}\\\boxed{y=-3}](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D%5Cdfrac%7B1%7D%7B3%7Dx%2By%3D%5Cdfrac%7B0%7D%7B3%7D%26%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B6%7Dx%2B%5Cdfrac%7B1%7D%7B5%7Dy%3D%5Cdfrac%7B9%7D%7B10%7D%26%5Ctext%7Bmultiply%20both%20sides%20by%2030%7D%5Cend%7Barray%7D%5Cright%5C%5C%5Btex%5D%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%2B3y%3D0%26%5Ctext%7Bmultiply%20both%20sides%20by%20%28-2%29%7D%5C%5C5x%2B6y%3D27%5Cend%7Barray%7D%5Cright%5C%5C%5Cunderline%7B%2B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D-2x-6y%3D0%5C%5C5x%2B6y%3D27%5Cend%7Barray%7D%5Cright%7D%5Cqquad%5Ctext%7Badd%20both%20sides%20of%20the%20equations%7D%5C%5C.%5Cqquad3x%3D27%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5C.%5Cqquad%5Cboxed%7Bx%3D9%7D%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20x%20to%20the%20first%20equation%3A%7D%5C%5C%5C%5C9%2B3y%3D0%5Cqquad%5Ctext%7Bsubtract%209%20from%20both%20sides%7D%5C%5C3y%3D-9%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5C%5Cboxed%7By%3D-3%7D)
[/tex]
You might be interested in
50%. Each coin has a 50% chance on landing on head and a 50% chance of landont on tails.
8 because a square is all the same size so ad up 2+2+2+2 it = 8
The slope is 4/3.
I hope this helps :)
Answer:
y=-5,-3,-1,1 are value for y
Answer:
last one is correct
Step-by-step explanation:
kkk
