Question

Without graphing, determine whether the system of linear equations in two variables is consistent and dependent, consistent and independent, or inconsistent. ​

Answer 1

Inconsistent as there are two same equations with different values.

So this doesn't make sense.

Answer 2

This system of linear equations would be inconsistent because it contradicts with itself.

In the first problem, we see that x + y = 5. Likewise, we see the same expression for the second problem but with an outcome of 10. This is an inconsistent conundrum because regardless of any input values for x and/or y, the second equation always amounts to 5 more than that of the first equation.