# How do you solve the following system: x-3y=20 , -6x + 5y = 4 ?

Jul 9, 2018

$x = 48.615384 \mathmr{and} y = 9.5384$

#### Explanation:

$x - 3 y = 20$----------------(1)

$- 6 x + 5 y = 4$-----------------(2)

We can find the value off variable $x$ in terms of $y$ from equation (1) as the coefficient of $x$ is 1 .

$\implies x = 20 + 3 y$ ----------(3)

Now, substitute this value of $x$ in equation (2),

$\implies - 6 \left(20 + 3 y\right) + 5 y = 4$

$\implies - 120 - 18 y + 5 y = 4$

$\implies - 18 y + 5 y = 4 + 120$

$\implies - 13 y = 124$

$\therefore y = \frac{124}{-} 13 = 9.5384$------(4) --- (truncated value)

Now substitute this value of $y$ in equation (3) to get the value of $x$,

$\implies x = 20 + 3 \left(9.5384\right) = 20 + 28.615384 = 48.615384$

$\therefore x = 48.615384 \mathmr{and} y = 9.5384$

Note: The values of $x$ and $y$ are truncated.