Question #98353

Mar 27, 2017

See explanation

Explanation:

Note that $4 \times 6 = 24$

$4 \times E q u a t i o n \left(1\right) \to 24 x - 20 y = - 14$
$6 \times E q u a t i o n \left(2\right) \to \underline{24 x + 12 y = \textcolor{w h i t e}{. .} 168} \leftarrow \text{ subtract}$
$\text{ } 0 x - 32 y = - 182$

$- 32 y = - 182$

Multiply both sides by (-1)

$32 y = 182$

Divide both sides by 32

$\frac{32}{32} y = \frac{182}{32}$

but $\frac{32}{32} = 1$

$y = \frac{91}{16}$

Where you can, always use fraction. They are more precise than decimals. Using decimals introduces rounding errors.

Just substitute for $y$ in $E q u a t i o n \left(1\right) \mathmr{and} 2$ to determine $x$