Math, asked by lavilleshawin, 2 months ago

if 5x+4y = 23 and 3x-y=7, what is the value of x

Answers

Answered by shivamnoob
1

Answer:

Given equations

3

x

4

y

=

23

...

...

(

1

)

5

x

+

y

=

7

...

...

...

(

2

)

Multiplying (2) by

4

& adding to (1), we get

3

x

4

y

+

4

(

5

x

+

y

)

=

23

+

4

(

7

)

23

x

=

51

x

=

51

23

setting the value of

x

in (1), we get

3

(

51

23

)

4

y

=

23

4

y

=

23

153

23

y

=

376

23

4

y

=

94

23

Hence the solution is

x

=

51

23

,

y

=

94

23

Step-by-step explanation:

hope it helps

Answered by Anonymous
58

Given,

  • 5x + 4y = 23 \\

  • 3x - y = 7 \\

 \\

To Find,

  • The value of 'x'.

 \\

Solution,

As given,

  • 5x + 4y = 23 \:  \:  \:  \:  \: ...(1) \\

  • 3x - y = 7 \:  \:  \:  \:  \: ...(2) \\

Solving by Elimination Method,

Multiplying Eq [2] by 4 to make the coefficients of 'y' equal as,

: \longmapsto 4(3x - y) = 4(7)  \\  \\ : \longmapsto 12x - 4y = 28 \:  \:  \:  \:  \: ...(3) \\

Adding Eq [1] and Eq [3] to eliminate 'y' and Finding the value of 'x' as,

: \longmapsto (5x + 4y) + (12x - 4y) = 23  + 28\\  \\ : \longmapsto 5x + 12x + 4y - 4y = 51 \\  \\ : \longmapsto 17x = 51 \\  \\ : \longmapsto x =  \frac{51}{17}  \\  \\ : \longmapsto \boxed{ x = 3} \\

Substituting the value of 'y' in Eq [2] and Finding the value of 'x',

: \longmapsto 3x - y = 7 \:  \:  \:  \:  \: ...(2) \\  \\ : \longmapsto 3(3) - y = 7 \\  \\ : \longmapsto 9 - y = 7  \\  \\ : \longmapsto9 - 7 = y \\  \\ : \longmapsto  \boxed{y = 2} \\

Therefore,

  • The values of 'x' and 'y' are 3 and 2 respectively.

 \\

Required Answer,

  • The values of 'x' and 'y' are 3 and 2 respectively.

Similar questions