Question

help me by solving this maths problem please​

Answer 1

$\sf\large\red{\underline{\underline{Question:}}}$

• Find the value of x and y if : $3\left[\begin{array}{cc}5&-6\\4&x\end{array}\right] -\left[\begin{array}{cc}6&y\\0&6\end{array}\right] =3\left[\begin{array}{cc}3&-2\\4&0\end{array}\right]$

$\sf\large\red{\underline{\underline{Solution:}}}$

We have ,

$\green\longmapsto 3\left[\begin{array}{cc}5&-6\\4&x\end{array}\right] -\left[\begin{array}{cc}6&y\\0&6\end{array}\right] =3\left[\begin{array}{cc}3&-2\\4&0\end{array}\right]$

$\green\dashrightarrow\left[\begin{array}{cc}15&-18\\12&3x\end{array}\right] -\left[\begin{array}{cc}6&y\\0&6\end{array}\right] =\left[\begin{array}{cc}9&-6\\12&0\end{array}\right]$

Adding matrices :

$\green\dashrightarrow\left[\begin{array}{cc}9&-y-18\\12&3x+6\end{array}\right] =\left[\begin{array}{cc}9&-6\\12&0\end{array}\right]$

Comparing both matrices :

$\green\dashrightarrow\left[\begin{array}{cc}9&\blue{-y-18}\\12&\pink{3x+6}\end{array}\right] =\left[\begin{array}{cc}9&\blue {-6}\\12&\pink{0}\end{array}\right]$

$\sf\longmapsto -y-18=-6$

$\sf\dashrightarrow y = -12$

___________

$\sf\longmapsto 3x-6=0$

$\sf\dashrightarrow x=2$

$\sf\large\red{\underline{\underline{Therefore,}}}$

• The value of x is 2 and y is -12

Answer 2

Answer:

y=-12 and x=2

Step-by-step explanation:

may I help you