Answer:
(x,y)=(2,4)
Step-by-step explanation:
[tex]\left \{ {{6x+3y=24} \atop {3x-3y=-6}} \right.[/tex]
⇒ 9x=18 divide both sides of the equation by 9
⇒ x=2
then put x=2 into the equation 3x-3y=-6
⇒ 3×2-3y=-6
⇒ 6-3y=-6
⇒ -3y=-6-6
⇒ -3y=-12
⇒ y=4
(x,y)=(2,4)
⇒ [tex]\left \{ {{6*2+3*4=24} \atop {3*2-3*4=-6}} \right.[/tex]
⇒ [tex]\left \{ {{24=24} \atop {-6=-6}} \right.[/tex]
⇒ (x,y)=(2,4)