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Hatshy [7]
3 years ago
12

\begin{aligned} & 2x+7y = 3 \\\\ & x=-4y \end{aligned}

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

x = 12 , y = -3

Step-by-step explanation:

Solve the following system:

{2 x + 7 y = 3 | (equation 1)

x = -4 y | (equation 2)

Express the system in standard form:

{2 x + 7 y = 3 | (equation 1)

x + 4 y = 0 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + 7 y = 3 | (equation 1)

0 x+y/2 = -3/2 | (equation 2)

Multiply equation 2 by 2:

{2 x + 7 y = 3 | (equation 1)

0 x+y = -3 | (equation 2)

Subtract 7 × (equation 2) from equation 1:

{2 x+0 y = 24 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 12 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: {x = 12 , y = -3

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vfiekz [6]

Answer:

21) x = 0

23) x = 7

Step-by-step explanation:

In a parallelogram, the opposite sides are congruent. Using this fact, we can create equations for both problems.

21)

2x + 18 = 18

Subtract 18.

2x = 0

Divide by 2.

x = 0

23)

2x - 3 = 11

Add 3.

2x = 14

Divide by 2.

x = 7

7 0
3 years ago
The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles If the greater of the o
Irina-Kira [14]

The two interior angles of the triangle is 75 and 105 degree.

<h3>What is the exterior angle theorem ?</h3>

According to the exterior angle theorem , The size of an exterior angle of a triangle is the sum of of smaller of two opposite interior angles.

It is given that

Let the measure of the two interior angle be x and y

then

The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles

x+ y = 180

the greater of the opposite interior angles exceeds the smaller by 30 degrees , find the measure of the interior angles of the triangle.​

x = y+30

By substitution method

y+30+y = 180

2y +30 = 180

2y = 150

y = 75 degree and x = 105 degree.

Therefore the two interior angles of the triangle is 75 and 105 degree.

To know more about exterior angle theorem

brainly.com/question/956912

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5 0
2 years ago
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alisha [4.7K]
6.75pi is the answer because radius is half of diameter and 1.5^2 • 3 is 6.75
4 0
3 years ago
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Yes it does
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8 0
4 years ago
A shark can chase prey about 30 miles per hour. What is this rate in miles per minute?
Pavlova-9 [17]

Solution :

Give that a shark can chase prey about 30 miles per hour.

1 hour = 60 minute

by using unitary method, we will convert miles per hour into miles per minute

in 60 minutes the shark can chase the prey 30 miles

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Hence the shark can chase the prey about 0.5 miles per minute.

5 0
4 years ago
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