Question

Solve the simultaneous equations: 2x+y=18 x-y=6

Answer 1

{x,y} = {8,2}
That is the correct answer

Answer 2

2x+y=18 ..............( equation 1)

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

Now we have to solve these equations , that is we have to solve for the values of x and y

For this we have many methods ,

Let's use elimination method

2x+y=18

x-y=6

Here the coefficient of y is already same and has opposite sign , so we can directly add the two equations to eliminate y, So

2x+x + y - y = 18+6

3x = 24

Divide both sides by 3

x= 8

We have found the value of x

Now to find the value of y , we can easily plug the value of x in anyone of the equation and solve for y

So let's plug in second equation

8 - y = 6

Subtract 8 from both sides

8 - 8 - y = 6 - 8

- y = - 2

Divide both sides by -1

y=2

, So we get

x=8 and y=2

So the solution is

{x,y} = {8,2}