Write as a Vector Equality y=-2x-12 , -2x-5y=20

Problem

{[y=−2*x−12],[−2*x−5*y=20])

Solution

1. Rearrange the first equation into standard form a*x+b*y=c by adding 2*x to both sides.

2*x+y=−12

2. Identify the coefficients of x and y from both equations to form the coefficient matrix A

A=([2,1],[−2,−5])

3. Define the vector of variables x and the vector of constants b

x=([x],[y])

b=([−12],[20])

4. Construct the vector equality by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

([2,1],[−2,−5])*([x],[y])=([−12],[20])

Final Answer

([2,1],[−2,−5])*([x],[y])=([−12],[20])

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