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.

Answer 1

4x + 3y = -9

2x + y = 3 --> y = 3 - 2x

substitution:

4x + 3(3-2x) = -9

4x + 9 - 6x = -9

-2x + 9 = -9

-2x = -18

x = 9

y = 3 - 2(9) = 3 - 18 = -15

9 and -15