My Math Forum Solve the Linear Equations

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 May 6th, 2017, 05:45 AM #1 Senior Member   Joined: Nov 2015 From: hyderabad Posts: 230 Thanks: 2 Solve the Linear Equations I tried to solve the equations in different ways but unsuccessful. Kindly someone solve this : If $a, b, c$ and $d$ satisfy the equations $a + 7b + 3c + 5d = 16$ $8a + 4b + 6c + 2d = −16$ $2a + 6b + 4c + 8d = 16$ $5a + 3b + 7c + d = −16$ Then $(a + d)(b + c)$ equals to ? Thank you in Advance!!!
 May 6th, 2017, 06:05 AM #2 Global Moderator   Joined: Dec 2006 Posts: 18,841 Thanks: 1564 The equations are satisfied by a = c = -2, b = d = 2.
May 6th, 2017, 06:08 AM   #3
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Quote:
 Originally Posted by skipjack The equations are satisfied by a = c = -2, b = d = 2.
I want to know how to solve these... Please let me know the steps.

May 6th, 2017, 06:09 AM   #4
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Quote:
 Originally Posted by skipjack The equations are satisfied by a = c = -2, b = d = 2.
I got $b$ value as $2$ but after that where to put this value to get another variable value ?

May 6th, 2017, 08:28 AM   #5
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Quote:
 Originally Posted by Lalitha183 I want to know how to solve these... Please let me know the steps.
Google "solving 4 unknowns with 4 equations"

Can't teach from here...no blackboard

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