Identify the solutions and features of a linear equation and when two linear equations have the same solutions.
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Name at least four points that are solutions to the linear equation $${4x-y=10}$$.
The following two equations have identical solutions.
$${y=\frac{1}{3}x+4}$$
$${-12=x-3y}$$
Explain how you know that:
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Several campuses are holding fundraisers and tallied the amount of tickets they sold, the amount of money they raised, and any one-time donations.
The prediction for how each campus would price the tickets, plus one-time donations was: $${y=2.5x + 50}$$
Part A
Which campuses, based on the amount of tickets sold and the total amount raised, appear to have followed the model prediction?
Part B
Central East and Central West forgot to send in their total amounts of money raised. The director used the prediction equation and his best guess of a sale of 25 tickets and 42 tickets, respectively. How much money did the director predict Central East and Central West raised?