Write as a Vector Equality x=5-y , 3y=3x+1

Problem

{[x=5−y],[3*y=3*x+1])

Solution

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

x+y=5

−3*x+3*y=1

2. Identify the coefficients of x and y to form the coefficient matrix A and the constant vector b

A=([1,1],[−3,3])

b=([5],[1])

3. Express the system as a single vector equality in the form A*x=b where x is the vector of variables.

([1,1],[−3,3])*([x],[y])=([5],[1])

Final Answer

([1,1],[−3,3])*([x],[y])=([5],[1])

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