Question

find the value of (x+y) 5x+7y=17, 7x+5y=19​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{5x+7y=17}$

$\mathsf{7x+5y=19}$

$\underline{\textbf{To find:}}$

$\textsf{The value of x+y}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{5x+7y=17}$-----(1)

$\mathsf{7x+5y=19}$------(2)

$\mathsf{Adding\;(1)\;and\;(2),\;we\;get}$

$\mathsf{12\,x+12\,y=36}$

$\mathsf{12(x+y)=36}$

$\implies\mathsf{x+y=\dfrac{36}{12}}$

$\implies\boxed{\mathsf{x+y=3}}$

$\underline{\textbf{Find more:}}$

4x-5y=172 ; 5x-4y=251 find x and y​

https://brainly.in/question/19811236

Answer 2

Answer:

x=2 & y=3

Step-by-step explanation:

5x+7y-17=0______equation 1

7x+5y-19=0______equation 2

multiple equation 1 by 7 & equation 2 by 5

35x+49y-119=0_____ equation 3

35x+25y-85=0_____equation 4

Rule 1:- If sign is same of eliminating term then subtract the equation.

Rule 2:- If sign is opposite of eliminating term then add the equation.

subtract equation 3 and 4

35x+49y-119=0

-35x+25y-85=0

=0 +24y-24=0

(-will change in +, +will change in -, because of subtraction)

24y-24=0

y=24/24

y=1

put value of Y in equation 1

5x+7y-17=0

5x+7×1-17=0

5x+7=17

5x=17-7

x=10/5

x=2

therefore, x=2 and Y=1.

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