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?

9514 1404 393

Step-by-step 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

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6