Question

Solve the following simultaneous equations.

(1) 5x - 3y = 8; 3x + y = 2​

Answer 1

Answer:

y=1 and x = 1/3..........

Answer 2

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1.5x-3y=8 : 3x +y=2

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 is the solution.