How to solve a system of two linear equations with two unknowns? {7(a+b)=b−a, 4(3a+2b)=b−8

easternerjx

easternerjx

Answered question

2022-09-26

How to solve a system of two linear equations with two unknowns?
{ 7 ( a + b ) = b a 4 ( 3 a + 2 b ) = b 8

Answer & Explanation

ruinsraidy4

ruinsraidy4

Beginner2022-09-27Added 17 answers

Here is a different approach:
{ 7 ( a + b ) = b a 4 ( 3 a + 2 b ) = b 8
Then
[ 8 6 0 12 7 8 ] [ 1 3 / 4 0 12 7 8 ] [ 1 3 / 4 0 0 2 8 ] [ 1 3 / 4 0 0 1 4 ] [ 1 0 3 0 1 4 ]
Resulting in a = 3 and b = 4.
Lustyku8

Lustyku8

Beginner2022-09-28Added 2 answers

Try to perform algebra on both the equations till you have the 𝑎 and 𝑏 on one side and a number on the other. Then see if you can "combine" them together.

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