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