Question

What is 5x+4y=-14, 3x+6y=6 in matrix

Answer 1

Answer:

$\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right]$ is the required matrix form.

Step-by-step explanation:

Here, the given system of equation is:

5 x + 4 y = -14,

3 x + 6 y = 6

In a system of equation, the matrix for is given as

AX = b

Here, A  = Co-efficient Matrix, X =  Variable Matrix and B = Constant Matrix

Considering the given system:

Co-efficient Matrix(A)  = $\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]$

Variable Matrix(X) = $\left[\begin{array}{ccc}x\\y\end{array}\right]$

Constant Matrix(b)   =$\left[\begin{array}{ccc}-14\\6\end{array}\right]$

Hence, the combined matrix form  of AX = b is

$\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right]$