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Answered

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The system of equations
4z +6y= 24
2x+y=8
has exactly one (x, y) pair for its solution.
1. If we double each side of the second equation, 2z+y=8, we have 4x + 2y = 16. Explain why the same (z,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 using the draw tool below, 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 (z,y) pair is also a solution to
this equation.
Again, you can support your explanation with diagrams or a situation, if needed.

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