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
kupik [55]
2 years ago
5

2x-y=4 -2x+y=7 is there a solution

Mathematics
2 answers:
katovenus [111]2 years ago
7 0

\text{Given : 2x - y = 4 and x + 2y = 7}

\text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\  \text{ The rest is followed as we continue to get to our goal}  \\  \\  \sf  {1}^{st}  \: equation  : \\   \quad\dashrightarrow \frak{2x - y = 4} \\  \\ \quad \dashrightarrow \frak{ \red{x =  \frac{y + 4}{2} }} \qquad  \sf ...eq(1) \\  \rm{ now \:  \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\  \\  \sf{ {2}^{nd}   \:equation} : \\   \quad\dashrightarrow \frak{ x + 2y = 7} \\  \\ \quad\dashrightarrow \frak{ \red{y =  \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\  \\  \text{Now, finding x and y}  \\  \\  \underline{ \frak{Finding  \: x}}\\  \\  \quad \hookrightarrow \frak{x =  \frac{y  +  4}{2}}  \\  \\ \quad \hookrightarrow \frak{2x =  \frac{7 - x}{2} + 4} \\  \\ \quad \hookrightarrow \frak{2x =  \frac{7 - x + 8}{2}} \\  \\ \quad \hookrightarrow \frak{2x =  \frac{1 - x}{2}} \\  \\\quad \hookrightarrow \frak{4x =  1 - x}  \\  \\ \quad \hookrightarrow \frak{5x = 1}  \\  \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x =  \frac{1}{5}}}}} \\  \\  \underline{ \frak{Finding \:  y}} \\  \\  \quad \hookrightarrow \frak{y =  \frac{7 - x}{2}} \\  \\ \hookrightarrow \frak{2y =  7 -  \frac{1}{5} } \\  \\ \hookrightarrow \frak{2y =   \frac{35 - 1}{5} } \\  \\ \hookrightarrow \frak{2y =  \frac{34}{5}} \\  \\ \hookrightarrow \frak{y =   \frac{34}{5}  \times \frac{1}{2}} \\  \\ \hookrightarrow \frak{y =   \frac{17}{5} } \\  \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5}  }}}}

astra-53 [7]2 years ago
4 0
There is one solution which is: x= 3/2, y= 10. Or as in ordered pairs (3/2,10)
You might be interested in
A bus averages 4 miles per hour faster than a motorcycle. If the bus travels 180 miles in the same time it takes the motorcycle
klemol [59]
Can u send me a picture of the question instead please because i dont understand what ur trying to ask..
3 0
3 years ago
Read 2 more answers
Geometry help pretty please 15 points plus brainliest plus be my friend x3
SVEN [57.7K]
1. X(0,0) --> X'(3,-5).
    To go from (0,0) to (3,-5), you must go to the right 3 and down 5.

I cannot answer 2 or 3, as rotations are not my strong suit.
4 0
3 years ago
Read 2 more answers
There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con
grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

\square ABCD

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD

\angle BAC = \angle  DCA

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC

and

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED

So, the congruent sides and angles of △ABE and △CDE are:

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD ---- S

\angle BAC = \angle  DCA ---- A

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED or \[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC  --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0
2 years ago
$18.39 is what percent of $329.64?​
pickupchik [31]

18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64                  

And, x% = 18.39                

Now, we get pair of simple equations

100% = 329.64                  ........(1)

x% = 18.39                         ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

To learn more about percentages, visit: brainly.com/question/14319057

#SPJ9

6 0
2 years ago
The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the t
bija089 [108]

Answer:

the statement that is not supported by the trend in this scatter plot is that each additional pound adds about 1 hour of cooking time. (last option)

3 0
3 years ago
Read 2 more answers
Other questions:
  • An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa
    8·2 answers
  • Find the area of a triangle with an 11-inch base and a 6-inch height.<br> A =
    6·1 answer
  • Where does -2/3 go on a number line
    12·1 answer
  • A rectangle prism is 8 inches long and 5 inches wide. It is filled with water up to 2 inches below the top. The height of the wa
    15·1 answer
  • Mary went to 2 baseball games this year she went to 5 games last year how many baseball games did Mary go to in total ​
    11·2 answers
  • Between an 8-pack of paper towels for $7.92 or a 12-pack for $11.64, the 8-pack would be cheaper. True or false.
    5·2 answers
  • Which of the following equations does not represent a linear function?
    9·1 answer
  • What is the expression on -1/64
    9·1 answer
  • Help me please i will give branlist<br> 30% off of 90
    12·1 answer
  • Layla calculates the mean of the ages of 10 students on her bus, and she discovers the average(mean) age is 12.8. What will happ
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!