Answer
$x=\left(\dfrac{1}{5},-\dfrac{3}{10}\right)$
Work Step by Step
We are given:
$x=(a,b)$
$u=(2,-3)$
$v=(-4,1)$
$10x=u$
Substitute the expressions of the vectors in the equation:
$10(a,b)=(2,-3)$
$(10a,10b)=(2,-3)$
Determine $a,b$:
$\begin{cases}
10a=2\\
10b=-3
\end{cases}$
$a=\dfrac{2}{10}=\dfrac{1}{5}$
$b=-\dfrac{3}{10}$
The solution is:
$x=\left(\dfrac{1}{5},-\dfrac{3}{10}\right)$
