Solve system by substitution x-5y=18 2×+6y=4

1 answer:

7 0

Algebra Calculator
I will solve your equations by substitution.12y=4;x−5y=18
Step: Solve 12y=4for y:12y/12=4/12(Divide both sides by 12)y=13Step: Substitute 1/3 for y in x−5y=18:
x−5y=18
x−5(1/3)=18
x+−5/3=18(Simplify both sides of the equation)
x+−5/3+5/3=18+5/3(Add 5/3 to both sides)
x=59/3
Answer:x=59/3 and y=1/3

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If n(A-B)=18,n(AuB)=70 and n(AnB)=25 then find n(B)

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n(A-B) denotes elements which are in A but not in B

n(Au B) denotes elements in A and B

n(AnB) denotes elements that are common in A and B

Now I will add one more set

n(B-A) which denotes elements in B but not in A

So, n(AuB) = n(A-B) + n( B-A) +n(AnB)

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70 = 43 + n(B-A)

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n(B-A) = 27

So, n(B) = n( B-A) + n( AnB)

= 27+25

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