Step 6
Solving for x yields $x = -\frac{43}{7}$. Substitute this solution for x into one of the original equations and simplify.
$\begin{cases} 0.2x - 0.3y = 4 \\ 2.3x - y = 3.3 \end{cases}$
This could be done with either equation, but for this system, using the second equation $2.3x - y = 3.3$ will be easier to find the solution for y because the coefficient on y is an integer.
$2.3(\frac{\boxed{\phantom{000}}}{7}) - y = 3.3$
$-\frac{\boxed{\phantom{000}}}{7} - y = 3.3$
To eliminate the decimal in the fraction, multiply both the numerator and denominator of the first term in the equation by 10. Also, convert 3.3 to a simplified fraction.
$-\frac{\boxed{\phantom{000}}}{70} - y = \frac{\boxed{\phantom{000}}}{10}$