What is the solution to this system of equations 3x+y=17 and x+2y=49

Answer:x=-3 y=26

Step-by-step explanation:

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

x+2y=49 ... (11)

From (11) x=49-2y

Substitute x=49-2y in 3x+y=17

3 (49-2y) + y=17

Open bracket

147-6y+y=17

147-5y=17

Collect like terms

5y=147-17

5y=130

Divide both sides by 5

5y/5=130/5

y=26

Substitute y=26 in x+2y=49

x+2 (26) = 49

x+52=49

Collect like terms

x=49-52

x=-3