Solve : $2 (x - y) = 3 5 x + 8 y = 14$

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Solution

Given $2 (x - y) = 3 ⟹ 8 x - 8 y = 12 \dots (1)$
$5 x + 8 y = 14 \dots (2)$
$(1) + (2) ⟹ 8 x + 5 x = 12 + 14 ⟹ 13 x = 26 ⟹ x = 2$
Substitute $x = 2$ in $(2)$
$5 (2) + 8 y = 14 ⟹ 8 y = 4 ⟹ y = \frac{1}{2}$

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