x+y=10 and the same x-y=2?

Question

find x and y

Answer 1

x+y=10 x-y=2

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

10-2y = 2

10 = 2 + 2y

8 = 2y

4 = y

x + 4 = 10

x = 6

Answer 2

4 and 6

Answer 3

x is 6 and y is 4

Answer 4

Start by picking X or Y and substitute:
Let's use X.
x+y=10, x = 10 - y
x - y = 2, x = 2 + y
Then 10 - y = 2 + y, or 10 = 2 + y + y
8 = y + y, or y = 4.
Then x + 4 = 10, or x = 6

Answer 5

x=6 and y=4

Answer 6

x = 6, y = 4

Answer 7

add both equations together to eliminate y

x+y = 10

+

x-y = 2

2x = 12

x = 6

substituting x = 6 into any of the 2 equations gives ur y value

i.e. 6 + y = 10

y = 10 - 6 = 4

or 6 - y = 2

y = 6 - 2 = 4

x=6
y=4

Answer 8

x - y = 2, so x - y + y = 2 + y, so x = 2 + y

x + y = 10, so (2 + y) + y = 10, so 2 + 2y = 10,
so 2 + 2y - 2 = 10 - 2, so 2y = 8,
so y = 4

but x - y = 2, so x - 4 = 2, so x - 4 + 4 = 2 + 4,
so x = 6
.

Answer 9

x+y = 10
x = 10 - y
put this result into second equation
10 -y - y = 2
10 - 2y = 2
-2y = 2 - 10
y = -8 / -2
y = +4
put this result into first equation
x + 4 = 10
x = 10 - 4
x = +6
therefor
x = 6 and y = 4

Answer 10

x + y = 10 ----------> equation 1
x - y = 2 ------------> equation 2

from equation 2,
x = y + 2

replace x = y + 2 into equation 1,

x + y = 10
(y+2) + y = 10
2 + y + y = 10
2 + 2y = 10
2y = 10 - 2
2y = 8
y = 8/2
y = 4

replacing y = 4, in equation 1,

x + y = 10
x + 4 = 10
x = 10 - 4
x = 6

hence, x=6, y=4