Write as a Vector Equality 3x+4x^2=3 , 5x+6x^2=7

Problem

{[3*x+4*x2=3],[5*x+6*x2=7])

Solution

1. Identify the variables and constants in the system of equations. The variables are x and x2 and the constants are the coefficients and the values on the right side of the equals sign.

2. Group the terms on the left side into a single vector by treating each equation as a component of the vector.

[[3*x+4*x2],[5*x+6*x2]]=[[3],[7]]

3. Decompose the left-side vector into a linear combination of vectors by factoring out the common variables x and x2 from each component.

x*[[3],[5]]+x2*[[4],[6]]=[[3],[7]]

Final Answer

x*[[3],[5]]+x2*[[4],[6]]=[[3],[7]]

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