Question

solve the system of equations.\

$$\begin{cases}3x - 6y = 5\\\\2x + y = 0\\end{cases}$$

\
enter the correct answers in the boxes.\
show hints

Explanation:

Step1: Isolate $y$ from second equation

$y = -2x$

Step2: Substitute $y$ into first equation

$3x - 6(-2x) = 5$

Step3: Simplify and solve for $x$

$3x + 12x = 5 \implies 15x = 5 \implies x = \frac{5}{15} = \frac{1}{3}$

Step4: Substitute $x$ back to find $y$

$y = -2\times\frac{1}{3} = -\frac{2}{3}$

Answer:

$x = \frac{1}{3}$, $y = -\frac{2}{3}$