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

Problem

{[y=−3*x+2],[y=2*x−3])

Solution

1. Rearrange each equation into standard form A*x+B*y=C so that the variables are on one side and the constants are on the other.

3*x+y=2

−2*x+y=−3

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

Coefficients of *x:([3],[−2])

Coefficients of *y:([1],[1])

3. Identify the constants on the right side of the equations to form the result vector.

Constants:([2],[−3])

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting their sum equal to the result vector.

x*([3],[−2])+y*([1],[1])=([2],[−3])

Final Answer

x*([3],[−2])+y*([1],[1])=([2],[−3])

Want more problems? Check here!