Question

Need help! Which matrix equation represents the system of equations?

[2x+ y =5
[5x+3y -12

Answer 1

Explanation:

The given equations are :

2x+ y =5 ....(1)

5x+3y = 12

We need to find the matrix equation that represents the system of equations.

`[A]=\left[\begin{array}{cc}2&1&\\5&3\end{array}\right]`

`[B]=\left[\begin{array}{cc}5\\12\end{array}\right]`

And

`[X]=\left[\begin{array}{cc}x\\y\end{array}\right]`

Hence, the matrix equation is :

`\left[\begin{array}{cc}2&1&\\5&3\end{array}\right] \left[\begin{array}{cc}x\\y\end{array}\right]=\left[\begin{array}{cc}5\\12\end{array}\right]`

Hence, the correct option is (b).