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Solve the system using the substitution technique:There is no solution.

Solve the system using the substitution technique:There is no solution.-example-1
User Banny
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1 Answer

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Given

The system of equations,


\begin{gathered} x-0.2y=1\text{ \_\_\_\_\_\_}(1) \\ -10x+2y=5\text{ \_\_\_\_\_\_}(2) \end{gathered}

To find the solution.

Step-by-step explanation:

It is given that,


\begin{gathered} x-0.2y=1\text{ \_\_\_\_\_\_}(1) \\ -10x+2y=5\text{ \_\_\_\_\_\_}(2) \end{gathered}

That implies,


(1)\Rightarrow x=1+0.2y

Substitute the value of x in (2).

Then,


\begin{gathered} -10x+2y=5 \\ -10(1+0.2y)+2y=5 \\ -10-2y+2y=5 \\ -10=5\text{ }(it\text{ }is\text{ }not\text{ }possible) \end{gathered}

Hence, there is no solution.

User Alora
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