Answer:
The answer to your question is: the second option
soda $2.00
lemonade $ 2.50
water $ 1.00
Step-by-step explanation:
soda = x; lemonade = y and water = z
Equations
5x + 4y + 6z = 26
4x + 2y + 7z = 20
3x + 6y + 4z = 25
Δ =[tex]\left[\begin{array}{ccc}5&4&6\\4&2&7\\3&6&4\end{array}\right][/tex]
= 40 +144 + 84 - 64 - 210 - 36
= -42
Δx = [tex]\left[\begin{array}{ccc}26&4&6\\20&2&7\\25&6&4\end{array}\right][/tex]
= 208 + 720 + 700 - 320 - 1092 - 300
= -82
Δy = [tex]\left[\begin{array}{ccc}5&26&6\\4&20&7\\3&25&4\end{array}\right][/tex]
= 400 + 600 + 546 - 416 - 875 - 360
= -105
Δz = [tex]\left[\begin{array}{ccc}5&4&26\\4&2&20\\3&6&25\end{array}\right][/tex]
= 250 + 624 + 240 - 400 - 600 - 156
= -42
x = -82/ -42 = 2
y = -105/-42 = 2.5
z = -42/-42 = 1
