Write as a Vector Equality 4x+6y=17 , y=5-5x

Problem

4*x+6*y=17,y=5−5*x

Solution

1. Rearrange the second equation into standard form a*x+b*y=c by adding 5*x to both sides.

5*x+y=5

2. Identify the system of linear equations.

4*x+6*y=17

5*x+y=5

3. Separate the coefficients of x and y into distinct column vectors.

x*[[4],[5]]+y*[[6],[1]]=[[17],[5]]

4. Express the system as a single vector equality by combining the scalar multiples.

[[4*x+6*y],[5*x+y]]=[[17],[5]]

Final Answer

[[4*x+6*y],[5*x+y]]=[[17],[5]]

Want more problems? Check here!