Solve the following system of equations for x and y. 5x+y = 2
4x-2y = 10
A.(-1,-3)
B.(1. - 3)
C. (1,3)
D.(-1,3)

We can solve this system by elimination to solve for y by multiplying the top equation by 4 and the bottom one by -5.

Now, with what we got for y, we plug it back into one of the original equations. I chose the top one.

Now we have the solution of this system

The solution is A. (-1, -3).

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

answer: 0.64

step-by-step explanation: