Question

shiw that the system of equations 2x+5y=17 , 5x+3y=14 has a unique solution find the solution

Answer 1

2x+5y=17. .. ...(1) multiplied by 3

5x+3y=14. .....(2) multiplied. by 5
then

6x+15y=51 .......(1)
25x+15y=70 .....(2)
(1)-(2)
we will get
x=1 and y=3

Answer 2

Answer:

The solution of the equation be x = 1 , y = 3 .

Step-by-step explanation:

As given the equations given in the questions be .

2x+5y=17 , 5x+3y=14

Multiply 2x+5y=17 by 5 .

Thus

10x + 25y = 85

Multiply  5x+3y=14 by 2 .

Thus

10x + 6y = 28

Subtracting 10x + 6y = 28 from 10x + 25y = 85 .

10x - 10x + 25y - 6y = 85 - 28

19y = 57

$y = \frac{57}{19}$

y = 3

Put in the equation 2x+5y=17 .

2x + 5 × 3 = 17

2x + 15 = 17

2x = 17 - 15

2x = 2

$x = \frac{2}{2}$

x = 1

Therefore the solution of the equation be x = 1 , y = 3 .