-x + 4y = -9

Question

y= -2x+6
Is (2,3) a solution of the systerm

Answer 1

To determine if the point (2,3) is a solution to the system of equations, we can substitute the values of x and y into the equations and see if the equations are true.

For the first equation:
-x + 4y = -9
-2 + 4(3) = -9
-2 + 12 = -9
10 = -9

This equation is not true, so (2,3) is not a solution to the first equation.

For the second equation:
y = -2x + 6
3 = -2(2) + 6
3 = -4 + 6
3 = 2

This equation is also not true, so (2,3) is not a solution to the second equation.

Since the point (2,3) does not satisfy both equations, it is not a solution to the system.