5x - 3y = 8. . . (I)
3x + y = 2 . . . (II)
Let us write value of y in terms
of x from equation (II) as
y = 2 - 3x . . . (III)
Substituting this value of y in
equation (I).
5x - 3y = 8
\ 5x - 3(2 - 3x) = 8
\ 5x - 6 + 9x = 8
\ 14x - 6 = 8
\ 14x = 8 + 6
\ 14x = 14
\ x = 1
Substituting x = 1 in equation
(III).
y = 2 - 3x
\ y = 2 - 3´1
\ y = 2 - 3
\ y = -1
x = 1, y = -1
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Answer:
5x - 3y = 8. . . (I)
3x + y = 2 . . . (II)
Let us write value of y in terms
of x from equation (II) as
y = 2 - 3x . . . (III)
Substituting this value of y in
equation (I).
5x - 3y = 8
\ 5x - 3(2 - 3x) = 8
\ 5x - 6 + 9x = 8
\ 14x - 6 = 8
\ 14x = 8 + 6
\ 14x = 14
\ x = 1
Substituting x = 1 in equation
(III).
y = 2 - 3x
\ y = 2 - 3´1
\ y = 2 - 3
\ y = -1
x = 1, y = -1
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