solver the system xy 5 2x y 4SolutionWell solve the system

solver the system:   x-y = 5    2x +y = 4

Solution

We\'ll solve the system using substitution method:

x-y = 5

We\'ll add y both sides:

x = 5 + y (1)

We\'ll substitute (1) in the second eq. of the system:

2(5+y) +y = 4

We\'ll remove the brackets and we\'ll get:

10 + 2y + y = 4

We\'ll combine like terms form the left side:

3y + 10 = 4

We\'ll subtract 10:

3y = -6

We\'ll divide by 3:

y = -2

We\'ll plug in the value of y in (1):

x = 5 + (-2)

x = 3

The solution of the system is {(3 , -2)}.