Question

Examine the system of equations.

5x + 6y = 32

5x – 6y = 8

Which variable or variables will be eliminated when you add the system of equations?


Which equation results from adding the system of equations?

Answer 1

9514 1404 393

Answer:

• y is eliminated
• 10x = 40

Explanation:

The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.

The result of that addition is ...

(5x +6y) +(5x -6y) = (32) +(8)

10x = 40