c + p = 57
4c + 2p = 176 or 2c + p = 88
subtract to get c, then go back to first equation to get c
Sondra has a lot of cats (witch have four legs )and a lot of parakeet (witch have two legs)among her pets she counted 57 heads and176 legs.how many cats does she have
2 answers
X cats.
Y parakeets.
x + y = 57.
4x + 2y = 176.
Multiply Eq1 by -4 and add Eq1 and Eq2:
-4x - 4y = -228
4x + 2y = 176
sum: -2y = -52
Y = 26.
In Eq1, replace Y with 26 and solve for X:
x + 26 = 57.
X = 31.
Y parakeets.
x + y = 57.
4x + 2y = 176.
Multiply Eq1 by -4 and add Eq1 and Eq2:
-4x - 4y = -228
4x + 2y = 176
sum: -2y = -52
Y = 26.
In Eq1, replace Y with 26 and solve for X:
x + 26 = 57.
X = 31.