Math, asked by dragonhindiz1234, 3 months ago

if 3x-y=7,ax+4y=11 and Dy=26 then a=​

Answers

Answered by amitnrw
10

Given :  3x - y = 7

ax + 4y = 11

Dy =  26

To Find :  Value of a

Solution:

Using Cramer rule :

x = Dₓ/D

y = Dy/D

3x  -  y = 7

ax + 4y = 11

D=\left|\begin{array}{ccc}3&-1\\a&4\end{array}\right|

D_x=\left|\begin{array}{ccc}7&-1\\11&4\end{array}\right|

D_y=\left|\begin{array}{ccc}3&7\\a&11\end{array}\right|

=> 3 * 11  - 7a = 26

=> -7a = -7

=> a = 1

Hence value of a = 1

on Solving x = 3 and y = 2

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