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Solve the system by substitution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.)x − 0.2y = 2−10x + 2y = 10(x, y) =

Sagot :

[tex]\begin{cases}x-0.2y=2 \\ -10x+2y=10\end{cases}[/tex]

Start multiplying the first equation for 10

[tex]\begin{gathered} 10(x-0.2y=2) \\ 10x-2y=20 \end{gathered}[/tex]

add the resulting equation with the second equation

[tex]\begin{gathered} 10x-2y+(-10x+2y)=20+10 \\ 0=30\rightarrow false\text{ }0\ne30 \\ \end{gathered}[/tex]

Answer:

There is no solution for the system