Write as a Vector Equality 11x+15y+23=0 , 7x-2y-20=0

Problem

{[11*x+15*y+23=0],[7*x−2*y−20=0])

Solution

1. Rearrange the equations to move the constant terms to the right side of the equals sign.

11*x+15*y=−23

7*x−2*y=20

2. Identify the coefficients of the variables x and y to form the column vectors.

Coefficients of *x:([11],[7])

Coefficients of *y:([15],[−2])

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

x*([11],[7])+y*([15],[−2])=([−23],[20])

Final Answer

x*([11],[7])+y*([15],[−2])=([−23],[20])

Want more problems? Check here!