Question

X-5y=33
5x-6y=70
solve the system by the addition method

Answer 1

For this case we have the following system of equations:

`x-5y = 33\\5x-6y = 70`

We multiply the first equation by -5:

`-5x + 25y = -165`

Thus, we have the equivalent system:

`-5x + 25y = -165\\5x-6y = 70`

We add the equations:

`-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5`

We find the value of the variable "x":

`x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8`

Thus, the solution of the system is:

`(x, y) :( 8, -5)`

Answer:

`(x, y) :( 8, -5)`