Solve: x+y=a+b ax-by=a²-b²
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Adithi B N 5 years, 3 months ago
- 1 answers
Test
Related Questions
Posted by Hari Anand 5 months, 1 week ago
- 0 answers
Posted by Kanika . 6 days, 1 hour ago
- 1 answers
Posted by Vanshika Bhatnagar 1 year, 3 months ago
- 2 answers
Posted by Parinith Gowda Ms 2 months, 2 weeks ago
- 1 answers
Posted by Sahil Sahil 1 year, 3 months ago
- 2 answers
Posted by Parinith Gowda Ms 2 months, 2 weeks ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Yogita Ingle 5 years, 3 months ago
x + y = a + b …(i)
ax – by = a2 – b2…(ii)
To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.
Lets multiply equation (i) by b, so that variable y in both the equations have same coefficient.
Recalling equations (i) & (ii),
x + y = a + b [×b
ax – by = a2 – b2
⇒ bx + ax = ab + a2
⇒ (b + a)x = a(b + a)
⇒ x = a
Substitute x = a in equations (i)/(ii), as per convenience of solving.
Thus, substituting in equation (i), we get
a + y = a + b
⇒ y = b
Hence, we have x = a and y = b.
1Thank You