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
Ty flipped a coin and counted how many times it landed on heads and how many times it landed on
lesya [120]
<h3>Answer:  13/28</h3>

========================================================

Reason:

The table shows he got 26 heads out of 26+30 = 56 coin flips.

26/56 = (2*13)/(2*28) = 13/28 is the empirical or experimetnal probablity of getting heads.

Side note: 13/28 = 0.4643 = 46.43% approximately which is fairly close to 50%

6 0
2 years ago
10)
Naddika [18.5K]

Answer:

i

Step-by-step explanation:

5 0
3 years ago
Solve for x.<br> I was sure the answer was 2?<br> Please show me the breakdown. THX
Murljashka [212]

Answer:

x = 8 and y = 10

Step-by-step explanation:

Since the figures are congruent:

Angle PQR = EFG

6y + x = 68

Segment QR = FG

2x - 4 = 12

Solving that:

2x - 4 = 12

2x = 16

x = 8

Replacing x in 6y + x =68

6y + 8 = 68

6y = 60

y = 10

7 0
3 years ago
Can someone help me !?
yKpoI14uk [10]
X=3
Y=-8
Z= 1
hope that helps
4 0
2 years ago
Question 8 is the one I’m having trouble on it
salantis [7]
Just multiply 30 times 2,000 and also multiply 30 times 700. The reason you will multiply it by 30 is because in 1 month there is 30 days. 30 x 2,000= 60000 30 x 700 = 21000 I’m only 9 btw so sorry if I didn’t give a lot of detail lol
4 0
2 years ago
Other questions:
  • A=12h(b1+b2) solve for b1 please.
    9·1 answer
  • In triangle ABC, the length of side AB 13 inches and the length of side BC is 21 inches. Which of the following could be the len
    9·1 answer
  • If the mean of this distribution is 13.7, which could NOT be the median?
    6·1 answer
  • Last month, Jennifer earned $143 for her after-school job. If she was paid $6.50 per hour, how many hours did Jennifer work?
    7·1 answer
  • How long is 33 inches added to 4 feet 7 inches? *
    7·2 answers
  • If the edge length of a cube is 5 cm. , then the sum of all edges =<br><br><br><br>​
    15·1 answer
  • What goes in the highlighted box?
    13·1 answer
  • Jesse and her family are painting their house. When they first started, they bought four 16-cup cans of paint. In order to paint
    5·1 answer
  • Melissa Silva borrowed $6,300 from the bank. If she has already repaid
    7·1 answer
  • Can someone please help me
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!