Mathematics: Solve using the addition method. -5x-y=38, -6x-3y=60

Solve using the addition method. -5x-y=38, -6x-3y=60

abdirisak33

12.01.2022

For this case we have the following system of equations:

$-5x-y = 38\\-6x-3y = 60$

To solve the system we follow the steps below:

We multiply by -3 the first equation:

15x + 3y = -114

We have the following equivalent system:

$15x+3y=-114\\-6x-3y=60$

We add the equations:

$9x = -54\\x = - \frac {54}{9}\\x = -6$

We look for the value of the variable "y":

$-5x-y = 38\\-5 (-6) -y = 38\\30-y = 38\\-y = 38-30\\-y = 8\\y = -8$

The system solution is given by:

(x, y): (- 6, -8)

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