The equations 3x + 4y = 10 – x + 2y = 0 have the solution

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The equations 3x + 4y = 10 – x + 2y = 0 have the solution (a,b). The value of a + b is

3x + 4y = 10 ---(i)
– x + 2y = 0
⇒ x = 2y
∴ From equation (i),
3 × 2y + 4y = 10 Þ 10y = 10

⇒ y =	10	= 1
	10

∴ x = 2
∴ (a, b) = (2, 1)
∴ a + b = 2 + 1 = 3