Write as a Vector Equality y=3x+2 , x-4y=9

Problem

{[y=3*x+2],[x−4*y=9])

Solution

1. Rearrange the equations into standard form a*x+b*y=c so that the variables x and y are aligned on the left side.

−3*x+y=2

x−4*y=9

2. Identify the coefficients of x and y to form the column vectors for each variable.

x* coefficients: *([−3],[1])

y* coefficients: *([1],[−4])

3. Express the system as a linear combination of these column vectors equated to the vector of constants.

x*([−3],[1])+y*([1],[−4])=([2],[9])

Final Answer

x*([−3],[1])+y*([1],[−4])=([2],[9])

Want more problems? Check here!