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1 year ago

(Combining Equations)What is the result of adding these two equations ? 2x + 3y = -5 5x - y = -12

Mathematics

1 answer:

lara [203]1 year ago

3 0

7x +2y =-17 ..... Finally, answer

2x + 3y = -5

5x -y = -12

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7x +2y = -17

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When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a

Lyrx [107]

Answer:

A) 0

Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

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3 years ago

Evaluate the expression. 5 - (4 - 2 - (6-6)) 8 2 5 3

Doss [256]

Answer: 3

Step-by-step explanation:

5−(4−2−(6−6))

3 0

4 years ago

Read 2 more answers

In the proportin 1/z=4/5÷8 which number is equal to z in the proportion

Alex787 [66]

Answer:

z = 10.

Step-by-step explanation:

1/ z = 4/5 / 8

1/z = 4/40

1/z = 1/10

z = 10 .

5 0

3 years ago

The three expressions, sin-2, cos-1, and tan-1 are called _ trigonometric functions

Alex_Xolod [135]

Answer:

Inverse.

Step-by-step explanation:

Inverse trigonometric functions.

e. g. tan-1 x means 'the angle whose tangent is x'.

They are also called arcsin, arccos and arctan.

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3 years ago

The equation 3y=5x represents a proportional relationship. what is the constant of proportionality for this relationship

Citrus2011 [14]

The constant of proportionality for this relationship is $\frac{5}{3}$

Step-by-step explanation:

Proportional relationship is the relation between two variables that vary directly with each other

If x and y are proportion, then y = k x, where k is the constant of proportionality
If x and y are proportion, then $\frac{y}{x}=k$ , where k is the constant of proportionality

∵ The equation is 3 y = 5 x

∵ x and y are proportional

- That means y = k x, where k is the constant of proportionality

∴ Put the equation in the form y = k x

- Divide both side by the coefficient of y

∵ The coefficient of y is 3

∴ Divide both sides of the equation by 3

∴ y = $\frac{5}{3}$ x

- The value $\frac{5}{3}$ is constant

∴ k = $\frac{5}{3}$

∵ k represents the constant of proportionality

∴ The constant of proportionality = $\frac{5}{3}$

The constant of proportionality for this relationship is $\frac{5}{3}$

Learn more:

You can learn more about the proportional relationship in brainly.com/question/10708697

#LearnwithBrainly

4 0

3 years ago