3x -7y = -10 ,-2x +y = 3 solve by elimination method
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Step-by-step explanation:
Given -
3x - 7y = -10
-2x + y = 3
To Find -
Value of x and y
By Elimination method :-
[ 3x - 7y = -10 ] × 2
[ -2x + y = 3 ] × 3
» 6x - 14y = -20
-6x + 3y = 9
______________
-11y = -11 (By Adding)
» y = -11/-11
- » y = 1
Substituting the value of y on -2x + y = 3
» -2x + 1 = 3
» -2x = 3 - 1
» -2x = 2
» x = 2/-2
- » x = -1
Hence,
The value of x is -1 and y is 1
Verification :-
- 3x - 7y = -10
» 3(-1) -7(1) = -10
» -3 - 7 = -10
» -10 = -10
LHS = RHS
And
- -2x + y = 3
» -2(-1) + (1) = 3
» 2 + 1 = 3
» 3 = 3
LHS = RHS
Hence,
Verified..
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