3x-7y-5=0 & 2x-3y-7=0
Answers
3x-7y=5.....(1)
2x-3y=7.....(2)
multiply equation (1) by 2 and eq (2) by 3
6x-14y=10
6x-9y=21
-5y=-11
y= 11/5
put y in equation (1)
3x-7(11/5)=5
3x-77/5=5
3x=5+77/5
3x=25+77/5
3x*5=102
15x=102
x=102/15
Ans...
Hope ita helps bu
given :- 3x - 7y - 5 = 0
➡ 3x - 7y = 5 -------(i)
and 2x - 3y - 7 = 0
➡ 2x - 3y = 7-------(ii)
applying substitution method,
from equation (i)
➡ 3x - 7y - 5 = 0
➡ 3x - 7y = 5
➡ 3x = 5 + 7y
➡ x = (5 + 7y)/3
putting value of x in equation (ii)
➡ 2[(5 + 7y)/3] - 3y = 7
➡ (10 + 14y)/3 - 3y = 7
➡ (10 + 14y)/3 - 9y/3 = 7
➡ (10 + 14y - 9y)/3 = 7
➡ 10 + 5y = 7 × 3
➡ 5y = 21 - 10
➡ 5y = 11
➡ y = 11/5
putting value of y = 11/5 in (i)
➡ 3x - 7(11/5) = 5
➡ 3x - 77/5 = 5
➡ 15x/5 - 77/5 = 5
➡ 15x - 77 = 25
➡ 15x = 102
➡ x = 102/15 = 34/5
hence, the value of x = 34/5 and y = 11/5