5x-2y=1and3x+4y=4 by elimination
Answers
- 5x - 2y = 1
- 3x + 4y = 4
_____________ [ GIVEN ]
• We have to find the value of x and y by elemination method.
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→ 5x - 2y = 1 _______ (eq 1)
→ 3x + 4y = 4 _______ (eq 2)
Multiply (eq 1) with 3 and (eq 2) with 5
→ 5x - 2y = 1 (×3)
→ 15x - 6y = 3 _______ (eq 3)
→ 3x + 4y = 4 (×5)
→ 15x + 20y = 20 ______ (eq 4)
Now.. Subtract (eq 4) from (eq 3)
→ 15x - 6y - (15x + 20y) = 3 - 20
→ 15x - 6y - 15x - 20y = - 17
→ - 26y = - 17
→ 26y = 17
→ y = 17/26
Put value of y in (eq 1)
→ 5x - 2(17/26) = 1
→ 5x - 17/13 = 1
→ 5x = 1 + 17/13
→ 5x = (13 + 17)/13
→ 5x = 30/13
→ x = (30/13 × 5)
→ x = 6/13
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___________ [ ANSWER ]
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✡ VERIFICATION :
From above calculations we have x = 6/13 and y = 17/26
Put value of x and y in (eq 1)
=> 5(6/13) - 2(17/26) = 1
=> 30/13 - 17/13 = 1
=> (30 - 17)/13 = 1
=> 13/13 = 1
=> 1 = 1
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