# What is the solution of x + y = 18 and x -y =2

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The set of equations x + y = 18 and x - y = 2 has to be solved.

Add the two equations: 2x = 20 => x = 10

y = 18 - 10 = 8

**The solution of the set of equations is (10, 8)**

Solve: x + y = 18

x - y = -2

If we add the 2 equations together we'd have;

2x + 0y = 16, therefore `2x = 16.`

If 2x = 16, divide both sides by 2 and `x = 8.`

By substituting, x = 8, into either of the equations we can solve for y.

`8 + y = 18`

` `Subtract 8 from both sides: `y = 10`

**This gives us the solution: x = 8 and y = 10**

**or (8, 10)**

x + y = 18 and x - y = 2

x+x+y-y=18+2

2x + 0y = 20

2x = 20

x = 10

plug x into the any one of the problems to find y

10 + y = 18

y = 18 - 10

y = 8

therefore **x=10 y= 8 or (10 , 8)**

x+x+y-y=18+2

2x + 0y = 20

2x = 20

x = 10

10 + y = 18

y = 18 - 10

y = 8

x+x+y-y=18+2

2x + 0y = 20

2x = 20

x = 10

10 + y = 18

y = 18 - 10

y = 8