Show the following simultaneous equations in matrix form:4x-4y-6=016y=14x+4

Show the following simultaneous equations in matrix form:4x-4y-6=016y=14x+4

Question
Algebra II
asked 2021-03-06

Show the following simultaneous equations in matrix form:
\(4x-4y-6=0\)
\(16y=14x+4\)

Answers (1)

2021-03-07

Given simultaneous equations are
\(4x−4y−6=0\)
\(16y=14x+4\)
The given equations can be re-arranged as
\(4x−4y−=6(I)\)
\(-14x+16y=4(II)\)
Let us consider the matrix A formed with co-efficients of the given equations. Then,
\(A=((4,-4),(-14,16))\)
Let,
\(X=((x),(y))\)
\(b=((6),(4))\)
The the given system of simultaneous equations can be written in matrix form as
\(Ax=b (III)\)

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