Determine whether the point (1, 4) is a solution of the system
6x + 9y = 42
5x + 0y = 5
by substituting the point into each equation
so, substitute it in. what do you get?
6*1 + 9*4 = 6+36 = 42
...
I don’t get how to solve it
To determine whether the point (1, 4) is a solution of the given system of equations, we need to substitute the coordinates of the point into each equation and check if both equations hold true.
Let's start by substituting the coordinates of the point (1, 4) into the first equation:
6x + 9y = 42
Replacing x with 1 and y with 4, we get:
6(1) + 9(4) = 42
6 + 36 = 42
42 = 42
The equation holds true for the point (1, 4) in the first equation.
Now, let's substitute the coordinates of the point (1, 4) into the second equation:
5x + 0y = 5
Replacing x with 1 and y with 4, we get:
5(1) + 0(4) = 5
5 + 0 = 5
5 = 5
The equation also holds true for the point (1, 4) in the second equation.
Since the point (1, 4) satisfies both equations, it is indeed a solution to the given system of equations.