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3 years ago

The graph of a proportional relationship contains the point (-30, 18)

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

Answer:

$k=-\frac{3}{5}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have the point (-30,18)

x=-30, y=18

Find the value of k

$k=\frac{y}{x}$

substitute

$k=\frac{18}{-30}$

Simplify

Divide by 6 both numerator and denominator

$k=-\frac{3}{5}$

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1 year ago

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2 years ago

5×=15+10y,3×+7y=31 it's for tomorrow pls

Katarina [22]

Answer:

x = 6.39, y = 1.69 is the solution of the given equation system.

Step-by-step explanation:

Here, the given set of equation is:

5 x = 15 + 10 y ⇒ 5 x - 10 y = 15 ...... (1)

3 x +7 y = 31 ............. (2)

Now, the coefficient of x in first equation id 5 and in second is 3.

So, MULTIPLY (1) with 3 and (2) with -5 , we get:

15 x - 30 y = 45

-15 x- 35 y = -155

<u>ADD BOTH EQUATIONS ,</u> we get:

15 x - 30 y -15 x- 35 y = 45 - 155

or, -65 y = -110

or, y = 110/65 = 1.69

Put y = 1.69 in 3 x +7 y = 31 , we get:

3(x) + 7 (1.69) =31

⇒ 3 x = 19.17 or x = 6.39

Hence, x = 6.39, y = 1.69 is the solution of the given equation system

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