3x - 2y-3 = o, 5x - 2y - 7 = o solve the following in in linear equation
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The given equations are: 2x - 3y/ 4 = 3 …..(i) 5x = 2y + 7 ……..(ii)
On multiplying (i) by 2 and (ii) by 3/4 , we get:
4x - 3/2 y = 6 …...
(iii) 15/4 x = 3/2 y + 21/ 4 ….(iv)
On subtracting (iii) and (iv), we get:
- 1/4 x = - 3/ 4
⇒x = 3
On substituting x = 3 in
(i), we get:
2 × 3 - 3y/4 = 3
⇒ 3y/4 =
(6 – 3) = 3
⇒y = (3 ×4 )/3 = 4
Hence, the solution is x = 3 and y = 4.
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