1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tems11 [23]
3 years ago
10

What is the solution this system of equations? 2/3x+y=6 and -2/3x-y=2

Mathematics
1 answer:
liraira [26]3 years ago
3 0

\bf \begin{cases}
\cfrac{2}{3}x+y=6\\[0.8em]
-\cfrac{2}{3}x-y=2
\end{cases}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\stackrel{\textit{using the first equation}}{\cfrac{2}{3}x+y=6}\implies y=6-\cfrac{2x}{3}
\\\\[-0.35em]
~\dotfill


\bf \stackrel{\textit{using the found \underline{y} in the second equation}}{-\cfrac{2x}{3}-\left( 6-\cfrac{2x}{3} \right)=2}\implies -\cfrac{2x}{3}-6+\cfrac{2x}{3}=2
\\\\\\
\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{-2x-18+2x=6}\implies -18\ne 6\impliedby \stackrel{\textit{system is inconsistent}}{\textit{no solutions}}


if you set both equations to a y = mx+b, you'll notice the slope is the same, meaning the lines are parallel to each other, thus they never meet.

You might be interested in
What is the answer to x=55
exis [7]

Answer:

<h3>.... I don't exactly get the question but x = 55 would mean just that. x IS 55. 55x would be if you were doing multiplication.</h3>

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Choose the most precise measurement.
Margarita [4]

Step-by-step explanation:

b.

34 in.

because it is the most smallest unit

7 0
3 years ago
Find the value of the trigonometric ratio​
zhuklara [117]

Answer:

ur box cannot be opend  repain the window

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.
Archy [21]

Answer:

According to this author, the stories about Nancy Hart  

✔ likely have some basis in truth

.

As a result, they are  

✔ very important

to the study of Georgia’s past

Step-by-step explanation:

I just took it on Edge 2020

6 0
3 years ago
There are several ways to prove that a shape is a parallelogram. Describe the various ways and provide a proof using one of the
Papessa [141]
A parallelogram is a four sided shape, where opposite sides are parallel.

5 0
3 years ago
Other questions:
  • A photographer uses an online service to sell some of his work. The amount of money he
    14·1 answer
  • How to do x squared -2x plus y squared = 80
    8·1 answer
  • 51) Rewrite the formula for the circumference of a circle C=2 /pi "r" in terms of its diameter "d". Please show your working :)
    6·1 answer
  • If a+11=20 what does a equal
    15·1 answer
  • Tony has 60$ to buy souvenirs for his grandkids at the baseball game. pennants cost $7.50 and hats cost $11.99. this relationshi
    10·1 answer
  • Nadia determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have
    7·1 answer
  • Find the GCF for the list.<br> - 6x^2, 21x^3
    7·1 answer
  • Type the correct answer in each box.
    12·1 answer
  • I also need help with this question I’m confused
    14·1 answer
  • kalia spent a quarter of her weekly allowance on a movie. the movie was $4.25. WHat is her weekly allowance
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!