Question

solve the following simulteneous equation
$x + 3y = 5 \\ 4x - 5y = 3$
​

Answer 1

( y , x ) = ( 1 , 2 )

Step-by-step explanation:

x + 3y = 5 ..... ( 1 )

4x - 5y = 3 ..... ( 2 )

Multiply equation ( 1 ) with 4

( x + 3y = 5 ) × 4

4x + 12y = 20 ..... ( 3 )

Substrating equation ( 2 ) from equation ( 3 )

We get,

17y = 17

y = 17 / 17

y = 1

y = 1

Putting the value of y = 1 in equation ( 2 )

4x - 5y = 3 ..... ( 2 )

4x - 5 ( 1 ) = 3

4x - 5 = 3

4x = 3 + 5

4x = 8

x = 8 / 4

x = 2

x = 2

( y , x ) = ( 1 , 2 )

___________________________

Let's check the value of y =1 and x = 2 by putting them in equation ( 2 )

4x - 5y = 3 ..... ( 2 )

4 ( 2 ) - 5 ( 1 ) = 3 ..... ( 2 )

8 - 5 = 3

3 = 3

( y , x ) = ( 1 , 2 )