Find the Variables [[x-1,4],[y+3,-7]]=[[0,4],[-2,-7]]

Problem

[[x−1,4],[y+3,−7]]=[[0,4],[−2,−7]]

Solution

1. Identify the corresponding elements in the two equal matrices. For two matrices to be equal, every corresponding entry must be identical.

2. Set up an equation for the first variable by equating the elements in the first row and first column.

x−1=0

3. Solve for x by adding 1 to both sides of the equation.

x=1

4. Set up an equation for the second variable by equating the elements in the second row and first column.

y+3=−2

5. Solve for y by subtracting 3 from both sides of the equation.

y=−5

Final Answer

x=1,y=−5

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