Question

What is the working out an answer to this simultaneous question
3x+y=17
2x+y=12

Answer 1

Answer is x=5 and y=2

Answer 2

3x + y = 17 --------(1)

2x + y = 12 ---------(2)

from (1) : y = 17 - 3x.

Substitute y in (2)

2x + (17 -3x) = 12

2x + 17 -3x = 12

-x = 12 - 17

-x = -5

x = 5

Substitute x in (1)

3(5) + y = 17

15 + y = 17

y = 17 -15

y = 2

Answer : x = 5, y = 2