Sir please give me a detailed solution of this question as it is already asked in various examinations in which we have given two equations 2x+5y=1, 2x+3y=3 and we have to find the value of variables x and y from the above equations by using the method of cross multiplication
RS Aggarwal, Class 10, chapter 3C, question no 5
2x+5y−1=0...(1)
2x+3y−3=0....(2)
From equation (1):a1​=2, b1​=5 and c1​=−1
From equation (2):a2​=2, b2​=3 and c2​=−3
Using cross multiplication method.
x/(−15+3​)=y(−2+6)=1/(6−10)​
x/−12=y/4​=1/−4​
x/12=1/−4​⇒x=−12/-4​=3
y/4​=1/−4​⇒x=4/-4​=−1
Answer x=3 and y=−1