Solve the system of equations: 2x + y = -1 5y + 3x = -1

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Accepted Answer

Okay, let's solve this system of equations.

First, let's rewrite the system to be clearer:

$$ \begin{cases} 2x + 1 = -1 \\ 5y + 3x = -1 \end{cases} $$

From the first equation, let's solve for x:

$$ 2x + 1 = -1 $$ $$ 2x = -1 - 1 $$ $$ 2x = -2 $$ $$ x = -1 $$

Now that we have the value for x, we can substitute it into the second equation to solve for y:

$$ 5y + 3x = -1 $$ $$ 5y + 3(-1) = -1 $$ $$ 5y - 3 = -1 $$ $$ 5y = -1 + 3 $$ $$ 5y = 2 $$ $$ y = \frac{2}{5} $$

So, the solution to the system of equations is:

$$ x = -1 $$ $$ y = \frac{2}{5} $$

Let's write the final answer.

Answer: x = -1, y = 2/5