3x -2y = -1

Question

y= -x+3
Is 1,2 a solution of the system

Answer 1

To determine if (1,2) is a solution of the system, we substitute x = 1 and y = 2 into both equations and see if the equations are true.

For the first equation:
3x - 2y = -1
3(1) - 2(2) = -1
3 - 4 = -1
-1 = -1

The first equation is true when x = 1 and y = 2.

For the second equation:
y = -x + 3
2 = -1 + 3
2 = 2

The second equation is also true when x = 1 and y = 2.

Therefore, (1,2) is a solution of the system.