Solve $2 x + y = - 4$ ; $3 y = 5 x - 1$ .Find value of |x| and y.

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Solution

Rearranging $2 x + y = - 4$
$- 5 x + 3 y = - 1$
By using elimination method
$3 (2 x + y) = - 4 \times 3$
$- 5 x + 3 y = - 1$
$\Rightarrow$ $6 x + 3 y = - 12$
$- 5 x + 3 y = - 1$
---------------------- $\to$ sign reverses for subtraction
$x = - 11$
$\Rightarrow$ $y - 4 - 2 x = 0; y = 18$

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