1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Solve for x and y:(a+2b)x+(2aâˆ’b)y=2,(aâˆ’2b)x+(2a+b)y=3

A
x=1a+115b,y=12a120b
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
x=12a+15b,y=1a110b
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
x=1a15b,y=12a+110b
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
x=12a15b,y=1a+110b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D x=12a−15b,y=1a+110b(a+2b)x+(2a−b)y=2 ........... (1)(a−2b)x+(2a+b)y=3 ............ (2)Adding (1) and (2), we get2ax+4ay=52x+4y=5a .......... (3)Subtracting (2) from (1), we get4bx−2by=−14x−2y=−1b ........... (4)Multiply equation (3) by 2 and subtract (4) from the result,2(2x+4y)−(4x−2y)=10a+1b10y=10a+1by=1a+110b ............ (5)Now, from (3),2x=5a−4y2x=5a−4(1a+110b)2x=1a−25bx=12a−15b .......... (6)

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
What Is an Equation?
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program