Question

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) =

Answer 1

`\begin{cases}x-0.2y=2 \\ -10x+2y=10\end{cases}`

Start multiplying the first equation for 10

`\begin{gathered} 10(x-0.2y=2) \\ 10x-2y=20 \end{gathered}`

add the resulting equation with the second equation

`\begin{gathered} 10x-2y+(-10x+2y)=20+10 \\ 0=30\rightarrow false\text{ }0\\e30 \\ \end{gathered}`

Answer:

There is no solution for the system