Solve the systems of equations with the addition method:x+2y=10 ; x-2y=2.

Question

The systems of equations are

x+2y=10

x-2y=2

Answer 1

Adding 2 equal quantities [(x − 2y) & 2] to 2 other equal quantities [(x + 2y) & 10] will give

2 sums that are still equal.

Then write:

x + 2y = 10

x − 2y = 2

Add "x" terms, "y" terms, and constant numbers to gain their respective sums and write:

x + 2y = 10

x − 2y = 2

2x + 0 = 12

This last gives x as 6; put x = 6 into x + 2y = 10 to obtain 6 + 2y = 10 or 2y = 10 − 6 or 4 or y is 2.

Finally, write the solution set as {x,y} ={6,2}.