Question

2(y + 5) – 5(2Y - 1) = 7(3 - y)​

Answer 1

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Maths

Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

If 7/2x + 5/2y = 5 ; 4x +...

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Asked on December 20, 2019 by

Nigel Bhardwaj

If

2

7

x+

2

5

y =5 ; 4x+2y=7, then what is the value of x−y?

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ANSWER

Given equations as :

2

7

x+

2

5

y=5...(1)

4x+2y=7...(2)

From equation (1) we have value of y:

⇒7x+5y=10

⇒5y=10−7x

⇒y=

5

10−7x

Substitute value of y in second equation will have x value:

4x+2(

5

10−7x

)=7

⇒20x+2(10−7x)=35

⇒20x+20−14x=35

⇒6x=15

⇒x=

2

5

Now replacing x value in equation 2nd will get y value

4(

2

5

)+2y=7

⇒20+4y=14

⇒4y=14−20

⇒4y=−6

⇒4y=−6

⇒y=

4

−6

y=

2

−3

Now x−y=

2

5

−(

2

−3

)

=

2

5

+

2

3

=

2

8

=4

Hence, option B is correct.

Answer 2

$\huge\color{pink}{\bf{❥AnSwEr}}$

Let's solve your equation step-by-step.

2(y+5)−5(2y−1)=7(3−y)

Step 1: Simplify both sides of the equation.

2(y+5)−5(2y−1)=7(3−y)

(2)(y)+(2)(5)+(−5)(2y)+(−5)(−1)=(7)(3)+(7)(−y)(Distributive)

2y+10+−10y+5=21+−7y

(2y+−10y)+(10+5)=−7y+21(Combine Like Terms)

−8y+15=−7y+21

−8y+15=−7y+21

Step 2: Add 7y to both sides.

−8y+15+7y=−7y+21+7y

−y+15=21

Step 3: Subtract 15 from both sides.

−y+15−15=21−15

−y=6

Step 4:Divide both sides by -1

-y/-1=6/-1

y=-6

So y=-6

$\color{pink}{\bf{❣Hope \: it \: helps \: you.....}}$