Write as a Vector Equality 3(1)+6(1)+6=0 , 8(y)=4(2)+24

Problem

3*(1)+6*(1)+6=0,8*(y)=4*(2)+24

Solution

1. Rearrange the equations so that all terms involving variables or constants are on one side, or organized into a consistent linear form A*x=b

3*(1)+6*(1)=−6

8*y−4*(2)=24

2. Identify the components for the vectors on the left-hand side and the right-hand side of the equality.

([3*(1)+6*(1)],[8*y−4*(2)])=([−6],[24])

3. Express the left side as a sum of scaled vectors or a dot product format to satisfy the vector equality requirement.

([3,6],[0,8])*([1],[1])+([0],[−4])*((2))=([−6],[24])

4. Simplify the constants within the vector structure to show the final equality.

([3*(1)+6*(1)+6],[8*y−4*(2)−24])=([0],[0])

Final Answer

([3*(1)+6*(1)+6],[8*y−4*(2)−24])=([0],[0])

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