Answer:
Explanation:
1. 34 animals because of 34 heads.
94 legs: 4 per cow, 2 per chicken
x= # of cows
y= # of chickens
so x+y=34
4x+2y=94
Multiply the first equation by -2 is -2x-2y=-68 and add it to the first equation.
which is 2x=26. so x=13. Since x+y=34, 13+y=34.
Therefore, y=21
13 cows and 21 chickens.
2. lets say
pizza=y
soda=x
6x+x=14 combine like terms
7x=14 divide both sides by 7
x=2
So a soda is $2.
6*2=12. So the pizza is $12.
12+2=14. So it's correct.
3.
# of DVDS=x
# of Bluray= y
11x+17y=95
x+y=7
dvds-4
blu-ray-3 (I just did trial and error, but it's correct)
4.
# of 2-points= x
# of 3-points= y
2x+3y=18
2(6)+3(2)=18
so 6 two-point shots and 2 three-point shots.
5.
12 coins are quarters and 14 are dollar coins.
let q stand for the number of quarters
and 26 coins in total
26-q= dollar coins
x=dollar coins too
so its 1x+.25(26-x)=17
1x+6.5-0.25x=17
.75x+6.5=17
.75x=10.5
x=14
17-14=3
3*4= 12 since 4 quarters in a dollar.