Answer:
(69/40 , 7/11)
Step-by-step explanation:
multiply the bottom equation by 2
-4x + 8y = 12
4x+3y=-5
cancel out both 4x
8y+3y=11y
12+ -5 = 7
11y=7
divide both sides by 11
y=7/11
substitute that in for y
4x + 3(7/11) = -5
4x + 21/11 = -5
4x = -69/10
x= 69/40
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Answer:5/12b
Step-by-step explanation:
Answer:
<em>79,920 different ways</em>
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>
<em> 120 * 666 = 79,920 ways</em>
