Question

Solve the system of Equation (Xy)
3x + y = -21
x + y = -5

Answer 1

The solution of the system of equations is (-8,3).

Explanation:

Given that:

3x + y = -21 Eqn 1

x + y = -5 Eqn 2

First of all, we will subtract Eqn 2 from Eqn 1

(3x+y)-(x+y)=-21-(-5)

3x+y-x-y=-21+5

2x=-16

Dividing both sides by 2

`(2x)/(2)=(-16)/(2)`

x=-8

Putting the value x=-8 in Eqn 2

-8+y= -5

Adding 8 on both sides

-8+8+y= -5+8

y=3

Hence,

The solution of the system of equations is (-8,3).