Respuesta :
Use elimination
- x+4y=16--(1)
- 3x+5y=27--(2)
(1)×5 and (2)×4
- 5x+20y=80--(3)
- 12x+20y=108--(4)
(3)-(4)
- -7x=-28
- x=4
Putting in eq(1)
- 4y=16-4
- 4y=12
- y=3
x + 4y = 16 __(1)
3x + 5y = 27 __(2)
Multiply the 1st equation by 3
3x + 12y = 48 __(3)
Solving (2) and (3)
3x + 12y = 48
3x + 5y = 27
__________
(-) (-) (-)
7y = 21
So, y = 3
By, putting the value of y = 3 in equation 1
x + 4(3) = 16
x + 12 = 16
x = 16 - 12
x = 4
We got -
The value of x = 4 and y = 3
Hope it helps you any confusions you may ask!