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Varvara68 [4.7K]
2 years ago
13

Solve the equation 3x-y=28 3x+y=14

Mathematics
1 answer:
Elis [28]2 years ago
3 0

Answer:

  (x, y) = (7, -7)

Step-by-step explanation:

You can eliminate y by adding the two equations:

  (3x -y) +(3x +y) = (28) +(14)

  6x = 42 . . . . simplify

  x = 7 . . . . . . divide by 6

You can eliminate x by subtracting the two equations:

  (3x +y) -(3x -y) = (14) -(28)

  2y = -14 . . . . simplify

  y = -7 . . . . . . divide by 2

The solution is (x, y) = (7, -7).

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Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B?
tatyana61 [14]

Answer:

A ∩ B = {2, 4}

Step-by-step explanation:

Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.

For example:

If x∈A and x∈B

then;

x∈ A ∩ B

Given the sets:

A = {1, 2, 3, 4, 5} and B = {2, 4}

We have to find  A ∩ B.

By definition we have;

A ∩ B = {2, 4}

Therefore, the value of  A ∩ B is, {2, 4}

4 0
2 years ago
Make up two equations, one that is true and one that is false. do not state which equation is true and which is false.
Sophie [7]
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4 0
3 years ago
Indicate a general rule for the nth term of this sequence. -6b, -3b, 0b, 3b, 6b. . .
SOVA2 [1]

The general rule for the nth term of the sequence is a(n)=-6b+(n-1)(3b)

Explanation:

The sequence is -6b, -3b, 0b, 3b, 6b, .....

To find the nth term of the sequence, we need to find the common difference and the first term of the sequence.

First term of the sequence = -6b

Common difference = -3b-(-6b)=-3b+6b=3b

Using this the nth term of the sequence can be determined.

Since, this is an arithmetic sequence, the general form of AP is given by the formula,

a(n)=a+(n-1)d

where a denotes the first term of the sequence and d denotes the common difference. Thus, a=-6b and d=3b

Substituting the values in the general formula, we get,

a(n)=-6b+(n-1)(3b)

Thus, the general rule for the nth term of the sequence is a(n)=-6b+(n-1)(3b)

8 0
3 years ago
1. If ABC  GXK, name all corresponding parts.
Lynna [10]
AB is congruent to GX
BC is congruent to XK
AC is congruent to GK

angle A is congruent to angle G
angle B is congruent to angle X
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~hope i helped


8 0
3 years ago
Find the value of x <br><br> 16 <br> 65<br> 25<br> 108
natka813 [3]

Answer: 16

Step-by-step explanation:

6 0
2 years ago
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