#### Diego is thinking of two positive numbers. He says, “If we triple the first number and double the second number, the sum is 34.”

ccss.hsa-ced.a.3.q.a1.wgsle.12
ccss.hsa-rei.a.q.a1.wgsle.12
ccss.hsa-rei.c.6.q.a1.wgsle.12
hsa-ced.a.3
hsa-rei.a
hsa-rei.c.6
writing and graphing system of linear equations

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- Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.
- Diego then says, “If we take half of the first number and double the second, the sum is 14. Write an equation that could represent this description.
- What are Diego’s two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.