17. mp identify structure what linear expression would you need to add to (-6x + 3) to have a sum of -x?

17. mp identify structure what linear expression would you need to add to (-6x + 3) to have a sum of -x?

17. mp identify structure what linear expression would you need to add to (-6x + 3) to have a sum of -x?

Answer

Explanation:

Step1: Let the expression to be added be (ax + b)

We know that ((-6x + 3)+(ax + b)=-x)

Step2: Combine like - terms

((-6 + a)x+(3 + b)=-x+0)

Step3: Equate the coefficients of (x) and the constant terms

For the coefficients of (x): (-6 + a=-1). Solving for (a), we get (a=-1 + 6=5) For the constant terms: (3 + b = 0). Solving for (b), we get (b=-3)

Answer:

The expression is (5x-3)