find the number of the following pair of linear equation 3x-3y=5
7x-2y=2
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Given equation :-
3x - 3y = 5 ..... ( i ) × 2
7x - 2y = 2 .... ( ii ) × 3
Sub ( ii ) × 3 from ( i ) × 2
6x - 6y - ( 21x - 6y ) = 10 - 6
6x - 6y - 21x + 6y = 4
15x = 4
x = 4 /15
Putting in ( i )
3x - 3y = 5
3 × 4 /15 - 3y = 5
4/5 - 3y = 5
( 4 - 15y )/5 = 5
4 - 15y = 25
- 15 y = 21
y = - 21 /15
y = - 7 / 5
3x - 3y = 5 ..... ( i ) × 2
7x - 2y = 2 .... ( ii ) × 3
Sub ( ii ) × 3 from ( i ) × 2
6x - 6y - ( 21x - 6y ) = 10 - 6
6x - 6y - 21x + 6y = 4
15x = 4
x = 4 /15
Putting in ( i )
3x - 3y = 5
3 × 4 /15 - 3y = 5
4/5 - 3y = 5
( 4 - 15y )/5 = 5
4 - 15y = 25
- 15 y = 21
y = - 21 /15
y = - 7 / 5
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