Solve : 55x + 52y = 217; 52x + 55y = 217

Asked by Last Modified  

8 Answers

Learn Mathematics +1

Follow 7
Answer

Please enter your answer

Rohit Gupta

subtract two equations from each other, we get x=y and then substitute x=y in any of the equation we get values for x and y . x=1.972 ,y= 1.972
Comments
Dislike Bookmark

Biotechnologist

Firstly, from the first equation, find x. From eqn 1: x = 217 - 52y/55. Now, substitute this value of x in the first eqn. i.e. 52 X (217 - 52y)/55 = 217 Now, multiply both sides with the denominator 55. Therefore, the eqn is 52(217-52y) + 3025y=11935 Solve for y. y = 217/107 ...
read more
Firstly, from the first equation, find x. From eqn 1: x = 217 - 52y/55. Now, substitute this value of x in the first eqn. i.e. 52 X (217 - 52y)/55 = 217 Now, multiply both sides with the denominator 55. Therefore, the eqn is 52(217-52y) + 3025y=11935 Solve for y. y = 217/107 Now, substitute this value of y in the x = 217 - 52y/55 which was derived from the original eqn. Therefore x = 217 - 52(217/107) /55 which is x = 217/107. Therefore, x = y = 217/107 read less
Comments
Dislike Bookmark

Tutor

First of all this is a question of simultaneous equations. But it has a trick under its sleeve. The main thing is to identify that little twist in this question. The RHS of both the equations have the same number. So, if we subtract one equation from the other, we can express x in terms of y. Lets...
read more
First of all this is a question of simultaneous equations. But it has a trick under its sleeve. The main thing is to identify that little twist in this question. The RHS of both the equations have the same number. So, if we subtract one equation from the other, we can express x in terms of y. Lets do it... 55x + 52y - 52x - 55y = 217-217 3x - 3y = 0 x = y. Great!! We got x = y. So substituting x in place of y in 1st equation we can get the value of x. Therefore, 55x + 52x = 217 107x = 217 x = 217/107 = 2.028 Also, y = x So y = 2.028 Therefore, the solution is (2.028,2.028) read less
Comments
Dislike Bookmark

Tutor

X=Y=217/107
Comments
Dislike Bookmark

Trainer

=>55x+52y=217..........................(i) =>52x+55y=217..........................(ii) Adding equation (i) & (ii), We have 77 (x+y)=434 =>x+y=434/77..................(iii) Subtracting (ii) from (i), We have=>x-y=0-----------------------(iv) From equation (iii) & (iv), we have x=217/77 y=217...
Comments
Dislike Bookmark

Tutor

2.02
Comments
Dislike Bookmark

As the summation of both eqns are same, we can equate the equations 52x+55y = 55x+52y => 3y=3x ( same eqn can be achieved by subtracting both eqns) => x=y Now putting this in any eqn We get 55x + 52x=217 => 107x=217 => x =y=217/107
Comments
Dislike Bookmark

Eco, Maths and Stats Tutor

subtract any one of the equations from another to get x=y. substitute this in any one of the equations to get x=y=2.03
Comments
Dislike Bookmark

View 6 more Answers

Related Questions

-2ˆ2 = ?

A) 4

B) -4
(-2)^2 =4. -2^2 = -4
Rahul Mishra
If a right circular cone has radius 4 cm and slant height 5 cm then what is its volume?
apply pythagoras theorem (height of cone)^2 + 4^2=5^2 height of cone = 3 volume of cone = 1/3*22/7*r^2*height of cone volume of cone = 50.27 cm^3
Raj
0 0
6
Write four solutions of 2x 3y = 8.
2x 3y=8 X=1 and y=8/6 X=8/6 and y=1 X=-1 and y=(-8)/6 X=(-8)/6 and y=-1
Gayathri
0 0
6
Can a triangle have two obtuse angles? Give reason for your answer.
No, because the sum of three angles of a triangle is 180 degree & sum of any two obtuse angles is always more than 180 degree. So, it can not be possible that a triangle have two obtuse angles.
Tanush
0 0
6

What's reasonable fees for class ix and x hourly and monthly , in Bhubaneswar?
hourly charge will be 450 to 500 n monthly will be 6000
Sashank
0 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Class-9-Maths L-1 Number System Ex1.3 Q1 (i)-(iii)

Ashish Bhatia

0 0
0
A sphere of solid gold has a mass of 100 kg and the density of gold is 19.3 g/cm3. What is the radius of the sphere?

Dr. S Kumar

0 0
0

Saurav

0 0
0

Lokesh Joshi

0 0
0
Angle ACB = 90 Degree And Angle ACD = x. Find x.
Question: Solution: Method 1 given below: Method 2 given below:

Sujoy Das

2 0
0

Recommended Articles

Top Benefits of e-Learning

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

The Rising Problems in Indian Government School

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

6 Healthy Habits of School Children

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

Science, Arts Or Commerce - Which One To Go For?

Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,...

Read full article >

Find Class IX Tuition near you
Class IX Tuition in Delhi
Class IX Tuition in Bangalore
Class IX Tuition in Hyderabad
Class IX Tuition in Kolkata
Class IX Tuition in Mumbai
Class IX Tuition in Chennai
Class IX Tuition in Pune
Class IX Tuition in Noida
Class IX Tuition in Gurgaon
Class IX Tuition in Lucknow

Looking for Class 9 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you