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Each small smoothie x cost $1.50, and large y cost $3. Find two solutions of 1.5x+3y=12 to determine how many of each type of sm
oothie you can buy with $12. Explain your solution.
2 answers:
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Answer:
Infinite solutions
Step-by-step explanation:
1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.
2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.
