Write as a Vector Equality 6a=4-b , 6a=5-b

Problem

6*a=4−b,6*a=5−b

Solution

1. Identify the given equations as a system of linear equations involving the variables a and b

2. Rearrange each equation into standard form (c_1)*a+(c_2)*b=k by adding b to both sides of each equation.

3. Write the first equation as 6*a+1*b=4

4. Write the second equation as 6*a+1*b=5

5. Express the system as a single vector equality by grouping the coefficients of a into one vector, the coefficients of b into another vector, and the constants into a resultant vector.

Final Answer

a*[[6],[6]]+b*[[1],[1]]=[[4],[5]]

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