ANSWER
The solution is
x=-3,y=-2
EXPLANATION
First equation
3x – 3y = –3
Second Equation:
5x – y = –13
Multiply the second equation by 3 to get:
Third equation:
15x-3y=-39
Subtract the first equation from the third equation:
[tex]15x - 3x = - 39 - - 3[/tex]
[tex]12x = - 36[/tex]
Divide both sides by 12,
[tex]x = \frac{ - 36}{12} = - 3[/tex]
Put x=-3 into the first equation:
[tex]3( - 3) - 3y = - 3[/tex]
[tex] - 9 - 3y = - 3[/tex]
Group like terms,
[tex] - 3y = - 3 + 9[/tex]
[tex] - 3y = 6[/tex]
[tex]y = - 2[/tex]
The solution is
x=-3,y=-2