How do you determine the point of a solution of the system.The point is 46, 0
2x+10y+92
-6x-2y=24
To determine whether a point is a solution to a system of equations, you need to substitute the values of the coordinates of the point into each equation and check if the equations are satisfied.
Let's use the given point (46, 0) and check if it satisfies both equations:
1. Equation 1: 2x + 10y + 92 = 0
Substituting x = 46 and y = 0:
2(46) + 10(0) + 92 = 92 + 0 + 92 = 184
The left side is equal to 184, which is not equal to 0. Therefore, the point (46, 0) does not satisfy Equation 1.
2. Equation 2: -6x - 2y = 24
Substituting x = 46 and y = 0:
-6(46) - 2(0) = -276
The left side is equal to -276, which is not equal to 24. Therefore, the point (46, 0) does not satisfy Equation 2.
Since the point (46, 0) does not satisfy both equations, it is not a solution to the system.