Question

how could you check to see if the point (5,6) is the solution to the linear system of equations

Answer 1

To check if the point (5,6) is a solution to a linear system of equations, you need to substitute the values of the point into the equations and see if they satisfy both equations.

Let's say the linear system of equations is:
Equation 1: ax + by = c
Equation 2: dx + ey = f

Substitute the point (5,6) into both equations:
Equation 1: a(5) + b(6) = c
Equation 2: d(5) + e(6) = f

Calculate the left-hand side (LHS) of each equation using the values from the point (5,6):
LHS of Equation 1: 5a + 6b
LHS of Equation 2: 5d + 6e

If the LHS of both equations is equal to the right-hand side (RHS) of each equation, then the point (5,6) is a solution to the linear system.