Question ↷
What is the solution to the system of equations?
3x+2y = 39
5x-y = 13
Answer ↷
(5,12)
Solution ↷
Given that,
3x + 2y = 39......(1)
5x - y = 13.......(2)
multiplying equation 1 by 5 & 2nd by 3 ,we get,
15x + 10y = 195.......(3)
15x - 3y = 39........(4)
Subtracting equation 4th by equation 3rd,
we get,
15x + 10y = 195
-15x - 3y = 39
_____________
ㅤ ㅤ13y = 156
ㅤㅤㅤ y = 12
_____________
so , y = 12 & x = 5
- ⤿5x-12 = 13
- ⤿5x = 25
- ⤿x = 5
_____________
hence, option 4th ⇢ (5,12) is correct ✓
