2x + 2y = 10
x + y = 5
x = 5 - y
Substitute for x in the other equation:-
(5 - y - 3)^2 + (y + 2)^2 = 16
(2 - y)^2 + (y + 2)^2 = 16
4 - 4y + y^2 + y^2 + 4y + 4 = 16
2y^2 + 8 = 16
2y^2 - 8 = 0
y^2 = 4
y = +/- 2
consider 2x + 2y = 10
when y = -2, 2x = 10 +4 giving x = 7
when y = 2, 2x = 10 - 4 giving x = 3
so solution is x = 7, y = -2 and x = 3, y=2.
Answer:
Step-by-step explanation:
let A=favorable outcomes for getting multiple of 2
they are 21,22,23,24,25,26,
41,42,43,44,45,46,
61,62,63,64,65,66
P(A)=18/36
let B=total of 8
favorable outcomes are 26,35,44,53,62
P(B)=5/36
P(A∩B)=3/36
P(A OR B)=P(A∪B)=P(A)+P(B)-P(A∩B)=18/36+5/36-3/36=20/36=5/9
Answer:
umm i can try to help you with the test
Step-by-step explanation:
Answer:
Step-by-step explanation:
10x + 25y = 370
y = x + 5
10x+25(x+5)=370
10x+25x+125=370
35x=370-125
x=245/35
x=7 which is the number of dimes
x+7= 7+5= 12 which is the number of quarters
So you have 12 quarters. That means you have 7 dimes.
Answer:
Step-by-step explanation:
1) x=14 y=40
2)a=10 b=37
3)u=62 v=59
4)s=9 t=14
5)u=66 v=38
hope this helps