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Rudiy27
3 years ago
13

Solve the system using elimination 2x+3y=14 x+5y=14

Mathematics
2 answers:
natali 33 [55]3 years ago
4 0

Answer:

x = 4 , y = 2

Step-by-step explanation by elimination:

Solve the following system:

{2 x + 3 y = 14 | (equation 1)

x + 5 y = 14 | (equation 2)

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

{2 x + 3 y = 14 | (equation 1)

0 x+(7 y)/2 = 7 | (equation 2)

Multiply equation 2 by 2/7:

{2 x + 3 y = 14 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 4 , y = 2

klemol [59]3 years ago
4 0

NVM my answer was wrong so i edited it

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3 years ago
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Answers with Explanation.


i. If we raise a number to an exponent of 1, we get the same number.

{10}^{1}  = 10

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

{10}^{2}  = 10 \times 10 = 100

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.



{10}^{3}  = 10 \times  {10}^{2}  = 10 \times 100 = 1000

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.


{10}^{4}  =  10 \times {10}^{3} = 10 \times 1000 =  10000

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.



{10}^{5}  = 10 \times  {10}^{4}  = 10 \times 10000 = 100000

{10}^{5}  = 100000

vi. Recall that,

{a}^{ - m}  =  \frac{1}{ {a}^{m} }
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{10}^{ - 2}  =  \frac{1}{{10}^{2} }  =  \frac{1}{100}

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5 0
3 years ago
Identify the interval that is not equal to the other three 15-19 30-34 40-45 45-49
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Answer:

45-40

Step-by-step explanation:

The first interval is 15-19.

The width of this interval is: 19-15=4

The second interval is 30-34.

The width of this interval is: 34-30=4

The third interval is 40-45.

The width of this interval is: 45-40=5

The fourth interval is 45-49.

The width of this interval is: 49-45=4

<h3>Therefore the interval that is not equal to the other three is 45-40</h3>
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A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).

<h3>What is the Equation of a parabola?</h3>

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

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(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Comparing the given equation with the equation of a parabola, we will get,

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y = -4(x+3)² + 2

Hence, the vertex of the parabola will lie at (-3,2).

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