4x - y = -2
x - 3y = 5
What is the matrix for this system of equations?
A) 4 -1 -2
1 -3 5
B) 4 0 -2
0 -3 5
C) 4 0 -2
0 3 5
D) 4 1 -2
1 3 5

Respuesta :

Given equations are,

4x - y = -2 ------(1)

x - 3y = 5 ------(2)

There are two variables in the equations 'x' and 'y'.

Coefficients of these variables in equation (1),

Coefficient of x = 4

Coefficient of y = -3

Similarly, constant terms of equations (1) and (2) are -2 and 5 respectively.

Matrix to solve these equations will be,

[tex]\begin{bmatrix}4 &-1 \\ 1 & -3\end{bmatrix}\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}-2\\ 5\end{bmatrix}[/tex]

Therefore, Option (A) will be the correct option.

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