Write as a Vector Equality -x+4y+8=0 , x-4y=-8

Problem

−x+4*y+8=0,x−4*y=−8

Solution

1. Rearrange the first equation into standard form a*x+b*y=c by subtracting 8 from both sides.

−x+4*y=−8

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

Equation 1: −1*x+4*y=−8

Equation 2: *1*x−4*y=−8

3. Express the system as a linear combination of vectors by grouping the coefficients of x into one vector and the coefficients of y into another.

x*([−1],[1])+y*([4],[−4])=([−8],[−8])

Final Answer

x*([−1],[1])+y*([4],[−4])=([−8],[−8])

Want more problems? Check here!