Write as a Vector Equality 2a+d=24 , 2b+d=17 , 2a+2b=x

Problem

{[2*a+d=24],[2*b+d=17],[2*a+2*b=x])

Solution

1. Identify the variables and constants in the system of linear equations. The variables are a b and d

2. Arrange the equations so that each variable aligns in columns, including zero coefficients where a variable is missing.

2*a+0*b+1*d=24

0*a+2*b+1*d=17

2*a+2*b+0*d=x

3. Extract the coefficients into a matrix and the variables into a column vector.

4. Formulate the vector equality by setting the product of the coefficient matrix and the variable vector equal to the constant vector.

Final Answer

([2,0,1],[0,2,1],[2,2,0])*([a],[b],[d])=([24],[17],[x])

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