Question

La suma de los valores x e y en el sistema :
3x-y=7
2x+3y=12
es?

Answer 1

1st Method: Elimination

Multiply 1st Equation with 3 as to terminate y.

9x - 3y = 21

2x + 3y = 12

+

11x = 33

x = 3

Putting x=3 in 1st Eqn.

3(3) - y =7

y = 2

2nd Method : Substitution

From 1st Eqn.

y = 3x - 7

Putting this value into 2nd Eqn.

$2x + 3(3x - 7) = 12 \\ 2x + 9x - 21 = 12 \\ 11x - 21 = 12 \\ 11x = 33 \\ x = 3$

Putting x = 3 in first Eqn

y = 2

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