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Solve for X and Y: 2x - `(3y)/4 = 3 ,5x = 2y + 7` - Mathematics

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Solve for x and y: 

2x - `(3y)/4 = 3 ,5x = 2y + 7`

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The given equations are:
2x - 3ЁЭСж4 = 3 …..(i)
5x = 2y + 7 ……..(ii) 
On multiplying (i) by 2 and (ii) by `3/4`,  we get:

4x -`3/2y = 6`           …...(iii)

`15/4 x = 3/2y + 21/4 `              ................(iv)

On subtracting (iii) and (iv), we get:

`1/4x =-3/4`

⇒ x = 3
On substituting x = 3 in (i), we get:

`2 xx 3 - (3y)/4 = 3 `

⇒  `(3y)/4 = (6-3) = 3`

 ⇒  y = `(3xx4)/4 = 4`

Hence, the solution is x = 3 and y = 4.

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рдкрд╛рда 3: Linear Equations in two variables - Exercises 2

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рдкрд╛рда 3 Linear Equations in two variables
Exercises 2 | Q 10

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