Write as a Vector Equality x=6y , 4x-24y=4

Problem

x=6*y,4*x−24*y=4

Solution

1. Rewrite the first equation into standard form a*x+b*y=c by moving the y term to the left side.

x−6*y=0

2. Identify the coefficients of the variables x and y and the constants on the right side for both equations.

1*x−6*y=0

4*x−24*y=4

3. Express the system as a linear combination of vectors by using the variables x and y as scalars for the column vectors of coefficients.

x*[[1],[4]]+y*[[−6],[−24]]=[[0],[4]]

Final Answer

x*[[1],[4]]+y*[[−6],[−24]]=[[0],[4]]

Want more problems? Check here!