Write as a Vector Equality 3x+27=1 , 2x-y=10

Problem

{[3*x+27=1],[2*x−y=10])

Solution

1. Identify the variables and constants in the system of equations. The variables are x and y Note that the first equation can be written as 3*x+0*y=−26 or kept in its current form to align coefficients.

2. Rewrite the equations so that all variable terms are on the left and constants are on the right.

3*x+0*y=−26

2*x−y=10

3. Separate the system into a linear combination of vectors by pulling out the scalar variables x and y

x*[[3],[2]]+y*[[0],[−1]]=[[−26],[10]]

4. Express the system as a single vector equality where the left side is a vector of the expressions and the right side is a vector of the constants.

[[3*x+27],[2*x−y]]=[[1],[10]]

Final Answer

[[3*x+27],[2*x−y]]=[[1],[10]]

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