Mathematics High School

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

Answers

Answer 1

[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]

[tex] \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} }}}}[/tex]

Related Questions

Is ABC" ADEF? If so, identify the similarity postulate or theorem that

applies

15

A. Similar - AA

B. Similar - SAS

C. Similar - SSS

D. Cannot be determined

Answers

here is answer

- BRAINLIEST answerer

The ∆ABC ~ ∆DEF by AA similarity Criteria.

What is Similarity?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two angles in ∆ABC and their equivalent angles in DEF are congruent.

Hence, it follows that the triangles' third pair of angles would likewise be similar.

So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

Then here the AA Similarity Criterion will be used.

Thus, ∆ABC ~ ∆DEF by AA Similarity rule.

Learn more about similarity here:

https://brainly.com/question/25502802

#SPJ7

Can you explain how to solve this problem, already know the answer

Answers

So, the slope is -3/5, and the y axis is unidentified.

A point is located at (6,-5). We will use this point.

In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.

We will also use 6 from the point to give us a dot in the x-coordinate.

We will then divide 5 from the 6 to give us how much we have to go up or down

6/5

We will then use the -3 in the slope.

We will times -3 to the 6/5 in order to know how much we have go up or down.

-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)

y = -3/5x + 1 2/5

The y = 13, we will plug it in the equation.

13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)

11 3/5 = -3/5x (times 5 on both sides)

-3x = 58 (divide -3 on both sides)

x = -58/3

can some one help me pleaseeee :(

Answers

a) 5/8

b) 3/5

Hope this helps

please solve the question

Answers

Cannot see the question

an investor owns shares of stock a and stock b. the investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

Answers

Answer:

a = 80 shares of stock A

b =120 shares of stock B

Step-by-step explanation:

Solved by creating a system of equations

Let a be number of shares of stock A

B number of shares of stock B

a + b = 200

9.5a + 27b = 4000

Solving the two equation

a = 80 shares of stock A

b =120 shares of stock B

What is the coefficient of the term 5/3 xy?

A. 5xy

B. 5/3

C. 5

D. 1/3

Answers

The answer is A. Look at it and it’s seam like it is A.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2

Answers

[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]

The best option is B.

B. The rate of change of the cost of the taxi ride is 3.00 per minute.

i need answers please thanks

Answers

Answer:i need this pls

Step-by-step explanation:

Correct answer is B

What is the value of x?

Answers

Answer:

the answer is D

Step-by-step explanation:

75 plus 37 is 112 and 180 minus 112 is 68

Answer:

the value of x is 88

Step-by-step explanation:

How much is 25% of a 4 gallon jug of milk?

Answers

the answer is 1 because .25x4=1

Answer:

1 gallon

Step-by-step explanation:

4 / 4 = 1

(because 25% is 1/4 of 100%)

:)

find the percentage change and classify as an increase or decrease

2004 cost: $18.77
2006 cost: $19.17

Answers

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

Meaning of =N

please

Answers

hope it is helpful to you please follow give brainliest answer

your ans. in above pic

Simplify the expression. Write your answer in exponent form. (6^2*6^9/6^7)^5

Answers

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the course of the day? Write your answer as a mixed number​

Answers

1 7/24 is the correct answer I will show you how to get it if needed.

Answer:

1  7/24

Step-by-step explanation:

2/3 x 8/8= 16/24

5/8 x 3/3= 15/24

31/24 = 1 7/24

0(-7) helppppppppppppppppppppp

Answers

Answer:

0

Step-by-step explanation:

anything multuplied by 0 is 0

What number does this Roman numeral represent? MCCLXXXVIII

Answers

Answer:

1280 is the answer. hope it helps you

Please help me with this question.
​

Answers

Answer:

The answer would be 6.66666666667 to be exact or just 6.66.

-Herobrine

Brainliest will be appreciated thank you!

Answer:

6.6 or 6.66

Step-by-step explanation:

1/2 (x + 8) - 15 = - 3

Answers

Answer:

x=16

Step-by-step explanation:

Heres the work below

Hope this Helps

3 out of 20 apples are bad what percentage are bad​

Answers

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

simplify, (xy+yz)² - 2x²y²z² and find the value when x=-1, y=2 and z=1

plz answer this fast plz u will give you brainly plz help me fast only 5min left to answer​

Answers

Simplify:

We have

(xy + yz)² - 2x²y²z

If,

x = -1, y = 2 and z = 1

Putting value:

(xy + yz)² - 2x²y²z

➡ (-1×2 + 2×1)² - 2×-1²×2²×1

➡ (-2 + 2)² - 2×1×4×1

➡ (0)² - 8

➡ 0 - 8 = -8,answer

W/11+10=10 w/11=0. W=

Answers

Answer:

w= 0

Step-by-step explanation:

a. 0/11+ 10= 10

0/11= 0

0+ 10= 10

b. 0/11= 0

what is the equation of a line when m=-7 and b=-8

Answers

Without seeing the equation i can assume it would be -7 (sign) -8 or -8 (sign) -7, -7/-8, -8/-7, and so on and so forth.

Work out the size of angle x

Answers

X = 13°

This is because the 85° opposite angle is part of the triangle, and the 98° is apart of a straight line (180°-98°=82°) in which the 82° is also apart of the triangle (because of the c pattern) and lastly as it is a triangle you just do 180°-(85°+82°) which equals 13°

Answer:

Opposite angles are equal

Corresponding angles are equal

Angles on straight lines adds to 180

Angles in triangle adds to 180

180-98=82

82+85=167

180-167=13

Answer is 13

tell the answer of the last q i asked pls

q was :-(

Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?​

Answers

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that​ time, which elevator is​ deeper?

The position of the equipment elevator relative to the surface is (blank) feet

Answers

Answer:

272

Step-by-step explanation: I had i

Please help I do not understand

Answers

Answer:

-3/7

Step-by-step explanation:

Hi,

First of all, we know that the slope is not undefine because both the x-coordinates are not the same.

To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.

A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administrator had 3 5/8 truckloads of concrete delivered for each of the two large playgrounds and 1 9/10 truckloads of cement delivered for small playground. If the cost of the concrete is $2,000 per 1/2 truckload, the concrete for the three playgrounds will cost $_____.


Blank options

-18,300

-22,100

-32,600

-36,600


plz help I don't understand this at all.

Answers

Answer:

you multiple two numbers and you devide both sides you get the answer

Write the equation of the line from the graph.​

Answers

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

Answer: X= -5

Step By-Step explantation:

What is 20 dived by 5 +19-6

Answers

Answer:

17

Step-by-step explanation:

20 divided by 5 + 19 - 6

20 divided by 5 = 4

4 + 19 = 23

23 - 6 = 17

Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.

Answers

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses

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