Find the Variables [[4x,3y]]=[[12,-1]]

Problem

[[4*x,3*y]]=[[12,−1]]

Solution

1. Equate the corresponding elements of the two matrices to create a system of linear equations.

4*x=12

3*y=−1

2. Solve for x by dividing both sides of the first equation by 4

x=12/4

x=3

3. Solve for y by dividing both sides of the second equation by 3

y=−1/3

Final Answer

x=3,y=−1/3

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