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likoan [24]
3 years ago
5

If the following system of equations was written as a matrix equation in the form AX = C, and matrix A was expressed in the form

: A= {A C} {B D}, find the value of a-b +c+d. 2x+8y=7 4x-2y=9 Please help, i dont know which number would be which letters
Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0

Answer: a-b+c+d =4


Step-by-step explanation:

The given system of equation is

2x+8y=7\\4x-2y=9

from this we have the following matrices

A_1 =\begin{bmatrix}\\2 &8 \\ \\4&2 \\\end{bmatrix}\ ,X=\begin{bmatrix}\\x\\ \\y\\\end{bmatrix}\text{and}\ C=\begin{bmatrix}\\7\\ \\9\\\end{bmatrix}

the given matrix A =\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}

On comparing Matrix  A_1 with Matrix A

\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}=\begin{bmatrix}\\2&8 \\ \\4 &-2 \\\end{bmatrix}

we have the following values

a=2 ,b=4,c=8,d=-2

Thus a-b+c+d =2-4+8+(-2)=4

iren [92.7K]3 years ago
7 0
Matrix A ={ 2 8}{4 -2}, so a-b+c+d = 2-4+8+(-2) = 4


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