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stiv31 [10]
2 years ago
13

3x-2y=7-x+3y=-7What is the simultaneous answer?​

Mathematics
1 answer:
charle [14.2K]2 years ago
3 0

Answer:

x = 5, Y = 4

Step-by-step explanation:

3x -2y = 7

-3x +9y = 21. (multiple the whole thing by 3 to get the xs to cancel)

7y = 28

y = 4

substitute y to find x

3x - 2(4) = 7

3x -8 = 7

3x = 15

x = 5

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Find the 21st term in the arithmetic sequence.<br> 3, 7, 11, 15, 19, ...
NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

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5 0
1 year ago
A farmer has a square plot of land he needs defense he walked to the diagonal of the plot of land and found it to be 80 yards ho
andre [41]

Answer: i think the answer is 320

Step-by-step explanation:

i say 320 because a square has 4 sides and there is 80 yards so all i did is multiply 80 x 4 = 320

7 0
2 years ago
Read 2 more answers
Line l is parallel to line e in the figure below.
agasfer [191]

Answer: The correct option are as follows;

(1) The triangles are similar because corresponding sides are congruent

(2) The triangles are similar because alternate interior angles are congruent

(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles

Step-by-step explanation: Please refer to the picture attached for details.

The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).

From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.

Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.

Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.

So our conclusions are;

The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})

8 0
3 years ago
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The answer and how to solve this
Nady [450]

Multiply the number outside the parenthesis by each term inside the parenthesis:

2(v+5) = 2v + 10

5 0
3 years ago
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2x - 3 = - ( 4x + 9 )
mafiozo [28]

2x-3 = -(4x+9)

2x-3 = -4x-9

2x+4x=3-9

6x=-6

x=-1

3 0
3 years ago
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