Answered

Sumali sa IDNStudy.com at simulang makuha ang maaasahang mga sagot. Magtanong at makatanggap ng maaasahang sagot mula sa aming dedikadong komunidad ng mga eksperto.

al,bill,and carl went shopping
al and bill together spent a total 1,200;
bill and carl spent together 1,800;
al and carl together spent a total 1,000
how much did each person spent

Sagot :

Lanstznridn

Answer:

[tex]\left[\begin{array}{ccc}Al&spent&200\\Bill&spent&1,000\\Carl&spent&800\end{array}\right][/tex]

Step-by-step explanation:

Let x, y, and z represent the amount spent by Al, Bill, and Carl respectively.

[tex]\left[\begin{array}{ccc}Equation1:&x+y=1,200\\Equation2:&y+z=1,800\\Equation3:&x+z=1,000\end{array}\right][/tex]

Simplify x in Eq.1 and substitute value for x in Eq.3 to simplify value for z.

[tex]x+y=1,200\\x=1,200-y[/tex]

[tex]x+z=1,000\\(1,200-y)+z=1,000\\z=1,000-1,200+y\\z=-200+y[/tex]

Substitute -200+y for z in Eq.2 to determine y.

[tex]y+z=1,800\\y+(-200+y)=1,800\\2y=1,800+200\\y=2,000/2=1,000[/tex]

Substitute 1,000 for y in Eq.1 to determine x.

[tex]x+y=1,200\\x+1,000=1,200\\x=1,200-1,000=200[/tex]

Substitute 200 for x in Eq.3 to determine z.

[tex]x+z=1,000\\200+z=1,000\\z=1,000-200=800[/tex]

Ang iyong kontribusyon ay mahalaga sa amin. Patuloy na magtanong at magbahagi ng iyong kaalaman. Sama-sama nating palawakin ang ating komunidad ng karunungan at pagkatuto. Para sa mabilis at eksaktong mga solusyon, isipin ang IDNStudy.com. Salamat sa iyong pagbisita at sa muling pagkikita.