Find the Variables [[7x,-8],[8y,-3]]=[[0,20],[2y,3]]

Problem

[[7*x,−8],[8*y,−3]]=[[0,20],[2*y,3]]

Solution

1. Identify the corresponding elements in the matrices to set up equations for each variable.

2. Equate the elements in the first row, first column to solve for x

7*x=0

3. Divide both sides by 7 to isolate x

x=0

4. Equate the elements in the second row, first column to solve for y

8*y=2*y

5. Subtract 2*y from both sides to group the variable terms.

6*y=0

6. Divide both sides by 6 to isolate y

y=0

7. Verify the remaining elements. The elements at (1,2) are −8 and 20 and at (2,2) are −3 and 3 Since −8≠20 and −3≠3 the matrix equation has no solution.

Final Answer

[[7*x,−8],[8*y,−3]]=[[0,20],[2*y,3]]⇒No Solution

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