Write as a Vector Equality (x+12y)=68 , (8y-12)=x

Problem

x+12*y=68,8*y−12=x

Solution

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

2. Rewrite the first equation: x+12*y=68

3. Rewrite the second equation by subtracting x and adding 12 to both sides: −x+8*y=12

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

5. Express the system as a vector equality where the linear combination of the column vectors equals the constant vector.

Final Answer

x*([1],[−1])+y*([12],[8])=([68],[12])

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