Question

the pair of linear equations X + 2 Y is equal to 5 and 7 x + 3 Y is equal to 13 has unique solution so find the value of x and y ​

Answer 1

Step-by-step explanation:

X+2y =5 ....equation(1)

7x+3y=13....equation(2)

3 is multiply to equation (1) and 2 is multiply to equation (2)

X+ 2y=5 ×3

7X +3y=13 ×2

=3x +6y=15

=14x +6y=26

- - -

-11x = -11x

X=1

put the value of x in equation (1)

X+2y=5

1+2y=5

2y=5-1

2y=4

y= 4/2

y=2

so the value of X =1 and Y=2

Answer 2

Answer:

here is ur answe :D

.... hope it helps

Step-by-step explanation:

x + 2 y  =  5     ...(1)

7 x  +  3 y  =    13  ...(2)  

Let's solve these equations using elimination method.

On multiplying the first equation by 7, we get

7 x + 14 y = 35  ...(3)

On subtracting (2) from (3), we have

7 x + 14 y = 35

− 7 x − 3 y =  − 13

_______________

11 y = 22

⇒  y = 2

On subsituting value of y in  x + 2 y = 5

we get:-

x + 2 ( 2 ) = 5

⇒ x = 1

⇒ x = 1  and  y = 2

Hence, the solution of the given equations is (1, 2).