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Question
Solve by the method of elimination
13x + 11y = 70, 11x + 13y = 74
Solution
13x + 11y = 70 → (1)
11x + 13y = 74 → (2)
(1) + (2) ⇒ 24x + 24y = 144
x + y = 6 → (3) ...(Divided by 24)
(1) – (2) ⇒ 2x – 2y = – 4
x – y = – 2 → (4) ...(Divided by 2)
(4) + (3) ⇒ 2x = 4
x = `4/2`
= 2
Substitute the value x = 2 in (3)
2 + y = 6
y = 6 – 2
= 4
∴ The value of x = 2 and y = 4
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