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

Problem

4+y=3,y=−3−x+2

Solution

1. Rearrange the first equation to isolate the variables on one side and the constant on the other.

y=3−4

0*x+1*y=−1

2. Rearrange the second equation into standard form by moving the variable x to the left side and combining constants.

y=−1−x

1*x+1*y=−1

3. Identify the coefficients of the variables x and y to form the coefficient matrix and the variable vector.

([0,1],[1,1])*([x],[y])

4. Construct the vector equality by setting the product of the coefficient matrix and the variable vector equal to the constant vector.

([0,1],[1,1])*([x],[y])=([−1],[−1])

Final Answer

([0,1],[1,1])*([x],[y])=([−1],[−1])

Want more problems? Check here!