Question

What is the solution to this system of equations? 3x + y = 17 x + 2y = 49 It has no solution. It has infinite solutions. It has a single solution: x = 15, y = 17. It has a single solution: x = -3, y = 26.

Answer 1

It has a single solution (-3, 26) / x= -3 y=26

Answer 2

3x+y=17

x+2y=49
Times 3 for both side
3x+6y=147

Substitute the two equation

3x+6y=147
-
3x+y=17
=
5y=130
Divided 5 for both side
5y/5=130/5
y=26

x+2y=49
x+2(26)=49
x+52=49
Subtract 52 from both side
x+52-52=49-52
x=-3. As a result, it has a single solution: y=26 and x=-3. Hope it help!