2x - 3y = -5
4x - 4y = -4
Is 2,3 a solution of the system
To check if the point (2,3) is a solution to the system of equations, we substitute the values of x and y into each equation and see if both equations are satisfied.
Let's substitute x = 2 and y = 3 into the first equation:
2x - 3y = -5
2(2) - 3(3) = -5
4 - 9 = -5
-5 = -5
The first equation is satisfied.
Now let's substitute x = 2 and y = 3 into the second equation:
4x - 4y = -4
4(2) - 4(3) = -4
8 - 12 = -4
-4 = -4
The second equation is also satisfied.
Since both equations are satisfied when x = 2 and y = 3, the point (2,3) is indeed a solution to the system.