Notifications
Clear all
Pair of Linear Equations in Two Variables
1
Posts
2
Users
0
Likes
640
Views
0
28/05/2021 11:41 am
Topic starter
Solve the pair of linear equations:
152x − 378y = − 74
76x − 189y = − 37
1 Answer
0
28/05/2021 11:42 am
x =(189y-137)/76……………..…(i)
− 378x + 152y = − 604
− 189x + 76y = − 302 ………….. (ii)
Using the value of x in equation (ii), we get
−189(189y−37/76)+76y=−302
− (189)2y + 189 × 37 + (76)2 y = − 302 × 76
189 × 37 + 302 × 76 = (189)2 y − (76)2y
6993 + 22952 = (189 − 76) (189 + 76) y
29945 = (113) (265) y
y = 1
Using equation (i), we get
x = (189-37)/76
x = 152/76 = 2