2x + y = 35 , 3x + 4 y = 65
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Step-by-step explanation:
2x + y = 35 ....(1)
3x + 4y = 65 ....(2)
2 × Eqn(2) − 3 × Eqn (1) we get
6x + 8y − 6x − 3y = 130 − 105
⇒ 5y = 25 or y = 25/5 = 5
Substitute y = 5 in (1) we get
2x + 5 = 35⇒2x = 35 − 5 = 30
or x = 30/2 = 15
∴ x = 15 , y = 5
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