To check if a point is a solution to a system of equations, we need to substitute the values of the point into the equations and see if they are true1. In this case, the point is (1, 3), which means x = 1 and y = 3. Let’s plug these values into the equations and simplify:
8x + y = 11 8(1) + 3 = 11 11 = 11
12x + 2y = 18 12(1) + 2(3) = 18 18 = 18
Since both equations are true, we can conclude that (1, 3) is a solution to the system of equations.
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