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0 votes
2.5k views
in Linear Equations by (55.0k points)
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If\( ​​​​\begin{pmatrix} x-y & 2x-y \\ 2x+z & 3z+w \\ \end{pmatrix} \) = \( ​​​​\begin{pmatrix} -1 & 0 \\ 5 & 13 \\ \end{pmatrix} \)then

A. z = 3, w = 4 

B. z = 4, w = 3 

C. z = 1, w = 2 

D. z = 2, w = -1

1 Answer

+1 vote
by (49.9k points)
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Best answer

By comparing L.H.S and R.H.S 

x - y = -1 -------- i 

2x – y = 0 -------- ii 

2x+ z = 5 --------- iii 

3z + w =13 ------- iv 

Using i in equation ii 

x = -1 + y 

ii becomes, -2 + 2y –y = 0 

y = 2 

x = 1 

Putting x in iii 

2 + z =5 

z = 3 

Putting z in iv 

9 + w = 13 

w = 4

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