Question

x − y = −1
x−3y=−13
How could you check to see if the point (5, 6) is the solution to the Linear System of equations?

Answer 1

I would make a quick mental check if (5,6) satisfies each equation.
Yes, it does, took about 10 seconds

Answer 2

To check if the point (5,6) is a solution to the given system of equations, we substitute x = 5 and y = 6 in both equations and check if they satisfy the equations or not.

For the first equation, x - y = -1,
we have 5 - 6 = -1, which is true.

For the second equation, x - 3y = -13,
we have 5 - 3(6) = -13, which is also true.

Since both equations are satisfied by the values x = 5 and y = 6, we can say that the point (5,6) is indeed a solution to the given system of equations.

Answer 3

That's a good way to check the solution quickly! Mental calculations can help save time and catch any errors in the calculations.