2x+3y=11/3,5x-7y=31/3
Answers
Answer:
x = 170/87 and y = -7/87
Step-by-step explanation:
Given:
2x + 3y = 11/3 .......(1)
5x - 7y = 31/3 ........(2)
Multiplying equation (1) by 5 we get
10x + 15y = 55/3 ......(3)
Multiplying equation (2) by 2 we get
10x - 14y = 62/3 ......(4)
Subtracting equation (4) from equation (3) we get
( 10x + 15y ) - ( 10x - 14y ) = 55/3 - 62/3
15y + 14y = ( 55 -62 ) / 3
29y = -7/3
y = -7/(3×29) = -7/87
⇒ y = -7/87
NOW
Putting ''y = -7/87'' in equation (1) we get
2x +3 (-7/87) = 11/3
2x - 21/87 = 11/3
⇒ 2x = 11/3 + 21/87
Taking L.C.M we get
2x = 340/87
⇒ x = 170/87
So
x = 170/87 and y = -7/87
hope you will understand
