solve the following pair of linear equation 4x+9y=5,3x_5y=39
Answers
HEYA HERE IS YOUR ANSWER....!!
4x+9y=5......(1)
3x-5y=39.......(2)
Multiply Eqn ( 1 × 5 ) and ( 2 × 9 )
20x+45y=25........ (3)
27x-45y=351.........(4)
ON COMPARING (3)&(4)
47x= 376
x = 8......
Putting x in (1)
4×8 +9y= 5
32+9y=5
9y=-27
y= -3.....
x = 8 , y = -3.....
HOPE IT'S HELP YOU A LOT....!!
Step-by-step explanation:
Heya !!
Given :-
- 4x + 9y = 5 ...... equ. ( 1 )
- 3x - 5y = 39 ...... equ. ( 2 )
From equ. ( 1 )
4x + 9y = 5
4x = 5 - 9y
x = 5 - 9y/4 ...... equ. ( 3 )
applying the value of x from ...... equ. ( 2 )
3x-5y =39
3( 5 - 9y/4 ) - 5y = 39
15 - 27y - 20y = 156
- 47 y = 156 - 15
- 47y = 141
y = - 141/47
y = - 3
applying the value of y from ...... equ. ( 1 )
4x + 9y = 5
4x + 9 × - 3 = 5
4x - 27 = 5
4x = 5 + 27
4x = 32
x = 32/4
x = 8
Hence the value of x = 8 and y = -3
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