# -x+y=1 x+y=11

-x+y=1 x+y=11

## the answer is given

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xxxxxx

xxxxxx

Adding xxx xxxxxxxx

2y = 12

y =6

substitute in x

-x x x =1

-x = xx

x =5

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## x=5 and y=6

Let's solve the equation set for y:

-x + y = 1

x + y = 11

=========== add both equations

0 +2y = 12 divide both sides of the equation by 2

y = 6

Let's solve the equation set for x:

-x + y = 1

x + y = 11

=========== subtract both equations

-2x+ 0 =-10 divide both sides of the equation by -2

x = 5

Hence, your solution is: x=5 and y=6.

I made a small plot for you where you can see the solution sets of -x + y = 1 and of x + y = 11. The point both sets intersect is the solution of both sets, namely: x=5 and y=6