Write as a Vector Equality 6x-4y=20 , 6x=4y+20

Problem

6*x−4*y=20,6*x=4*y+20

Solution

1. Identify the system of linear equations. Both equations provided are actually equivalent forms of the same linear relationship: 6*x−4*y=20

2. Rewrite the equation in the standard form a*x+b*y=c to clearly see the coefficients and the constant term.

3. Express the left side of the equation as a dot product of a coefficient vector and a variable vector.

4. Formulate the vector equality by setting the dot product equal to the constant vector (or scalar in this case).

5. Represent the relationship using the standard vector notation a⋅x=c or as a product of a row vector and a column vector.

Final Answer

([6,−4])*([x],[y])=20

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