Mathematics, 14.02.2022 18:40 allenpaietonp9v8sv
Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions
3x-2y=7
Y=1.5x+5
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Answers: 3
![y = 1.5x+5\implies y=\cfrac{3}{2}x+5\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y)=2\left( \cfrac{3}{2}x+5 \right)} \\\\\\ 2y=3x+10\implies -3x+2y=10 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 3x&-&2y&=&7\\ -3x&+&2y&=&10\\\cline{1-5} 0&+&0&=&17 \end{array}\qquad \impliedby \textit{another way of saying \underline{no solutions}}](/tpl/images/2658/6628/20885.png)
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