ANSWER
x=3, y=-4
EXPLANATION
The given system is :
First equation:
[tex] - 10x - 3y = - 18[/tex]
Second equation:
[tex] - 7x - 8y = 11[/tex]
Let us multiply the first equation by 7 to get,
Third equation;
[tex] - 70x - 21y = - 126[/tex]
Let us multiply the second equation too by 10 to get,
Fourth equation:
[tex] - 70x - 80y = 110[/tex]
Subtract the fourth equation from the third equation:
[tex] - 21y + 80y = - 126 - 110[/tex]
[tex] 59y = -236[/tex]
Divide both sides by 59.
[tex]y = - 4[/tex]
Put y=-4 into the second equation and solve for x.
[tex] - 7x - 8( - 4) = 11[/tex]
[tex] - 7x + 32 = 11[/tex]
[tex] - 7x = 11 - 32[/tex]
[tex] - 7x = - 21[/tex]
[tex]x = 3[/tex]
The solution is x=3, y=-4
