To start using the linear combination method, you need a variable that will cancel out. To get this, we will multiply the second equation by -20 and then add together.

x + y = 100

-1.4x - y = -116

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-0.4x = -16

x = 40

Now that we have the value of x, we plug into one of the original equations to find y.

x + y = 100

40 + y = 100

y = 60

3 0

3 years ago

Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (

natka813 [3]

Answer:

For subsets A={1,2},B={2,3},C={1,2 5} of U = {1, 2, 3, 4, 5}.

A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

Step-By-Step Explanation:

U = {1, 2, 3, 4, 5}.

A={1,2}

B={2,3}

C={1,2 5}

For the Left Hand Side

B-C={3}

A ∪ (B − C)= {1,2} ∪ {3} ={1,2,3}

Likewise, the Right Hand Side:

(A ∪ B)={1,2,3}

(A ∪ C)={1,2,5}

(A ∪ B)- (A ∪ C)= {1,2,3}-{1,2,5}={3}

Since, {1,2,3} ≠ {3}, A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

7 0

3 years ago

Find the inequalities represented by the graph ​

Find the inequalities represented by the graph