Is (1,4) a solution to this system of equations?
y=x+9
y=10x+7
To determine if (1,4) is a solution to the system of equations, we substitute the values of x and y into the equations and see if they satisfy both equations.
For the first equation, y = x + 9, substituting x = 1 and y = 4:
4 = 1 + 9
4 = 10
This is not true, so (1,4) is not a solution to the first equation.
For the second equation, y = 10x + 7, substituting x = 1 and y = 4:
4 = 10(1) + 7
4 = 10 + 7
4 = 17
This is also not true, so (1,4) is not a solution to the second equation.
Since (1,4) does not satisfy both equations simultaneously, it is not a solution to the system of equations.