1/2(2x+3y)+12/7(3x-2y)=1/2 & 7/2x+3y +4/3x-2y=2.sove the following equations

We have,

Therefore, the above equation becomes:

On subtracting (3) from (2), we get

7p + 24q - (7p + 4q) = 7 - 2

⇒ 20q = 5

⇒ q = 1/4

On putting value of q in (2), we get

 

On putting the respective values of p and q in (1), we get

On applying, 2 × (4) + 3 × (5), we get

4x + 6y + 9x - 6y = 14 + 12

⇒ 13x = 26

⇒ x = 2

On putting value of x = 2 in (4), we get

2(2) + 3y = 7

⇒ 4 + 3y = 7

⇒ 3y = 3

⇒ y = 1

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