2x + y = 10

2x - y = 6

x = 4 y = 2

Step-by-step explanation:

2x + y = 10

2x4 = 8

8 + 2 = 10

2x - y = 6

2x4 = 8

8 - 2 = 6

Step-by-step explanation:

2x + y = 10 ... (1)

2x - y = 6 ... (2)

Substracting (2) from (1)

2x - 2x + y - (-y) = 10 - 6

y + y = 4

2y = 4

Dividing through by 2

y = 4/2

y = 2

Substitute y = 2 in (2)

2x - y = 6

2x - 2 = 6

Collecting like terms

2x = 6 + 2

2x = 8

Dividing by 2

x = 8/2

x = 4