citron: 4 units
wood apple: 2 units
The price of 10 citrons and 11 fragrant wood apples is 62 units. The price of 11 citrons and 10 fragrant wood apples is 64 units. Find the price of a citron and the price of a wood apple.
2 answers
10x+11y = 62
11x+10y = 64
Multiply Eq1 by 11 and Eq2 by 10 and sub. Eq2 from Eq1.
110x+121y = 682
110x+100y = 640
Diff.: 21y = 42
Y = 2 fragrants.
In Eq1, replace y with 2 and solve for x:
10x+11*2 = 62
X =
11x+10y = 64
Multiply Eq1 by 11 and Eq2 by 10 and sub. Eq2 from Eq1.
110x+121y = 682
110x+100y = 640
Diff.: 21y = 42
Y = 2 fragrants.
In Eq1, replace y with 2 and solve for x:
10x+11*2 = 62
X =