This is the basic and exam oriented question from linear equations in two variables in which we have given two equations 2x-3y=17, 4x+y=13 and we have to solve the equations in such a way that it has a unique solution
RS Aggarwal, Class 10, chapter 3D, question no 2
2x−3y=17....(1)
4x+y=13...(2)
Here,
a1=2, b1=−3, c1=17
a2=4, b2=1, c2=13
a1/a2=2/4=1/2, b1/b2=−3/1=−3
Which shows,
a1/a2≠b1/b2
System has unique solutions.
Solve the equations using substitution method:
From (1):x=(17+3y)/2
Putting value of x in (2)
4((17+3y)/2)+y=13
68+12y+2y=26
68+14y=26
y=−3
Again, x=(17+3(−3))/2
2x=8
x=4
Answer: x=4 and y=−3,