Write as a Vector Equality 4a+b-3d=8 , 10b+9d=0

Problem

4*a+b−3*d=8,10*b+9*d=0

Solution

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

2. Rewrite the equations so that all variables are aligned, including those with zero coefficients.

4*a+1*b−3*d=8

0*a+10*b+9*d=0

3. Express the system as a linear combination of vectors by using the coefficients of each variable as components of the vectors.

a*([4],[0])+b*([1],[10])+d*([−3],[9])=([8],[0])

Final Answer

a*([4],[0])+b*([1],[10])+d*([−3],[9])=([8],[0])

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