Answers

1. Answer:

   c. (y + z = 6) ⋅ -3

   Explanation:

   Equation P : y + z = 6

   Equation Q : 3y + 4z = 1

   In order to solve by elimination and remove the y-term, the coefficients of y must be same or negative to each other in both the equations.

   So to make the y co-efficient similar here, multiply the first equation by -3

   When done: (y + z = 6) · -3 = -3y – z = -18

   Solving steps:

   -3y – 3z = -18

   3y + 4z = 1

   ——————

       z = -17

   There the y-term has been removed.

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2. Answer:

   c. (y + z = 6) ⋅ −3

   Step-by-step explanation:

   We want to use elimination to eliminate y in a system of equations

   y + z = 6

   3y + 4z = 1

   We can take the first equation and multiply by -3 to make the y term -3 so when we add  the equations -3y + 3y =0

   -3(y + z = 6)

   3y + 4z = 1

   ——————–

   -3y  -3z = -18

   3y + 4z = 1

   ———————

   0y  +z   = -17

   Reply