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2 years ago

Which equation represents an inverse variation?

Mathematics

1 answer:

Genrish500 [490]2 years ago

8 0

Answer:

its y=2x so yaa thats ittt

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Solve: 2x+7/5 - x-3/10 = x+1/15<br>find the value of x and verify the result will RHS

choli [55]

Step-by-step explanation:

<h3><u>Given Question :- </u></h3>

Solve for x :-

$\dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\red{\large\underline{\sf{Solution-}}}$

Given linear equation is

$\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{2(2x + 7) - (x - 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{4x + 14 - x + 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{(4x - x) + (14 + 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{3x + 17}{10} = \dfrac{x + 1}{15}$

On multiply by 5 on both sides,

$\rm :\longmapsto\: \dfrac{3x + 17}{2} = \dfrac{x + 1}{3}$

On cross multiplication, we get

$\rm :\longmapsto\:3(3x + 17) = 2(x + 1)$

$\rm :\longmapsto\:9x +51 = 2x + 2$

$\rm :\longmapsto\:9x - 2x = 2 - 51$

$\rm :\longmapsto\:7x = - 49$

$\bf\implies \:x = - 7$

<h3><u>VERIFICATION</u></h3>

Consider, LHS

$\red{\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10}}$

On substituting the value of x, we get

$\red{\rm \: = \: \dfrac{2( - 7) + 7}{5} - \dfrac{ - 7 - 3}{10}}$

$\red{\rm \: = \: \dfrac{ - 14 + 7}{5} - \dfrac{ - 10}{10}}$

$\red{\rm \: = \: \dfrac{ - 7}{5} + 1}$

$\red{\rm \: = \: \dfrac{ - 7 + 5}{5}}$

$\red{\rm \: = \: \dfrac{ - 2}{5}}$

Consider RHS

$\green{\rm :\longmapsto\:\dfrac{x + 1}{15}}$

On substituting the value of x, we get

$\green{\rm \: = \: \dfrac{ - 7 + 1}{15}}$

$\green{\rm \: = \: \dfrac{ - 6}{15}}$

$\green{\rm \: = \: \dfrac{ - 2}{5}}$

$\rm \implies\:LHS=RHS$

HENCE, VERIFIED

5 0

3 years ago

Read 2 more answers

Name 2 same side interior angles

nasty-shy [4]

Answer:

Lines a and b are parallel to each other! ... The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

Step-by-step explanation:

Study.com

3 0

3 years ago

COPY-<br> Evaluate each expression if a = 4, b = 6, and c = 2<br> -> 3a +6²c<br> What is

Klio2033 [76]

Step-by-step explanation:

a=4 so 3a becomes 3x4.

3x4=12

12+6c^2

C=2 so 6c^2 becomes (6x2)^2

6x2=12 and 12x12 because of the exponent.

12x12=144

12+144=156

If it's wrong, i'm sorry

5 0

3 years ago

In the following figure it is given that 2a-5b=10 find a and b

RoseWind [281]

Answer:a=130,b=50

Step-by-step explanation:

a+b= 180

2a-5b=10

2(180-b)-5b=10 (I have substituted (180-b) for a here.)

360-2b-5b=10

350=7b

b=50

a+50=180

a=130

7 0

3 years ago

Plsss help I can mark you brainliest

Galina-37 [17]

Answer:

The answer is B.

Step-by-step explanation:

12 ≤ r + 22

r + 22 ≥ 12

r + 22 − 22 ≥ 12 − 22

r ≥ −10

I hope this helps you :D

4 0

3 years ago