Four times a number plus three times a second number is -9. twice the first number plus the second number is three. find the numbers.

The first number is: 9

and the second number is: -15

Let the first number be : a

and the second number be: b

Now, we have:

Four times a number plus three times a second number is -9.

i.e. we have : 4a+3b= -9--------(1)

Also,

Twice the first number plus the second number is three.

i.e. 2a+b=3

i.e. we have: b=3-2a------(2)

Now, putting the value of b in equation (1) we have:

and on putting the value of a in equation (2) we have: