Question

Solve the following pair of linear equations -
x + y = 8,
x - y = 6.​

Answer 1

Answer:

The given system of equations is

x+y = 8

x-y = 6

Add up the equations

x+y = 8

x-y = 6

--------

2x+0y = 14

that turns into

2x = 14

Now solve for x

2x = 14

2x/2 = 14/2

x = 7

Then use this to find y

x+y = 8

7+y = 8

7+y-7 = 8-7

y = 1

So x = 7 and y = 1 which is the ordered pair (x,y) = (7,1)

If you were to graph the two equations, you'll see that the two lines cross at the point (7,1), which is the solution to the system of equations.