The system of equations < 4x + 6y = 24 2x+y=8
has exactly one (x, y) pair for its
solution.
1. If we double each side of the second equation, 2x + y = 8, we have
4x + 2y
= 16. Explain why the same (x, y) pair that is the solution to the
system is also a solution to this new equation.
If needed, you can support your explanation with hanger diagrams, or by
inventing a situation that the equations represent.
2. If we add the two equations in the original system, we have 6x + 7y = 32.
Explain why the same (x, y) pair is also a solution to this equation.
Again, you can support your explanation with diagrams or a situation, if
needed.