How could you check to see if the point (5,6) is the solution to the linear equations?

Answer 1

To check if the point (5,6) is a solution to the linear equations, you would substitute the x and y values of the point into the equations and see if both equations are satisfied simultaneously.

Let's say we have two linear equations:
1) 2x + 3y = 10
2) x - 4y = -14

First, substitute x = 5 and y = 6 into the equations:
1) 2(5) + 3(6) = 10
2) (5) - 4(6) = -14

Now, we evaluate the equations:
1) 10 + 18 = 10
2) 5 - 24 = -14

In the first equation, 28 does not equal to 10, so (5,6) is not a solution to the first equation. Similarly, in the second equation, -19 is not equal to -14, so (5,6) is also not a solution to the second equation.

Therefore, the point (5,6) is not a solution to the given linear equations.