Question

3x+2y=11 2x+3y=4 elimination method​

Answer 1

3x+2y=11

2x+3y=4

by adding them

5x+5y=15

x+y=3

x=3-y

put the value of x

3x+2y=11

3(3-y)+2y=11

9-3y+2y=11

9-y=11

-y=11-9

-y=2

y=-2

put the value of y

x=3-y

x=3-(-2)

x=3+2

x=5

hence x=5 and y=-2

hope it helps you

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Answer 2

Question :-

[solve by elimination method ]

3x+2y=11

2x+3y=4

Elimination method :- Technique used to solve Linear equations.

2(3x+2y=11)

3(2x+3y=4)

6x+4y=22

6x+9y=12

________

-5y=10

________

y =10/-5

y= -2

substitute y value in equation 1

3x+2(-2)=11

3x-4=11

3x= 11+4

3x= 15

X=15/3

X=5

Therefore :- x = 5 and y = -2