5x-5y+8=0,7x+6y-9=0
Answers
Step-by-step explanation:
5x-5y+8=0 __(1)
7x+6y-9=0 __(2)
(1)×6 + (2)×5 =>
30x-30y+48+35x+30y-45=0
65x+3=0
x=3/65
(1)=>. 3/13 - 5y + 8 =0
5y=108/13
y=108/65
Step-by-step explanation:
the first equation can be written as
5x - 5y = -8 __________ (i)
also
7x + 6y = 9 ____________ (ii)
now consider these two equations
from 1st equation we have,
5x = -8 + 5y
x = (-8 + 5y)/5 ________(iii)
now put the value of x in eq ii, we get
7((-8 + 5y)/5) + 6y = 9
or
(-56 + 35y)/5 +6y = 9 (multiply 7 inside)
or
(-56 + 35y + 30y)/5 = 9 (LCM)
or
-56 + 35y + 30y = 45
or
65y = 45+56
or
y = 101/65
put y in eq iii , we get
x = (-8 + 5(101/65))/5
or
x = (-8 + 101/13)/5
or
x = (-104 +101)/(13×5)
or
x = -3/65
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