Question

3x + 2y = 4
8x +5y = 9

Answer 1

Step-by-step explanation:

In order to make the coefficients of x equal multiply the equation 8x + 5y = 9 by 3 and equation 3x + 2y = 4 by 3

Then we get the equations: 24 x + 15 y = 27 . . . . . . . . . ( 1 )

24 x + 1 6 y = 32 . . . . . . . . . ( 2 )

Subtract Equation (1) from Equation (2) to eliminate x , because the coefficients of x are the same.

So, we get ( 24 x − 24 x ) + ( 16 y − 15 y )

= 32 − 27

i.e. y = 5

Substituting this value of y in the equation 8x + 5y = 9 ,

we get 8x + 25 = 9

i.e. 8x = − 16

i.e. x = −2

Hence, the solution of the equations is x = − 2 , y = 5