Question

2x+3y=-13 and 5x-4y=-2​

Answer 1

Explanation:

2x + 3y = - 13 - - - - - >i

5x - 4y = - 2 - - - - - -> ii

By substitution of equation ii we get,

5x - 4y = - 2

5x = - 2+4y

x = - 2+4y /5 - - - - - > iii

Put the value of x in i

2x + 3y = - 13

2(-2+4y /5) +3y = - 13

-4+8y /5 +3y = - 13

-4+8y + 15y

------—--------- = - 13

5

-4+23y = - 13×5

-4+23y = - 65

23y = - 65+4

23y = - 61

y = - 61/23

Put the value of y in iii

x=-2+4y /5

x = -2+4(-61/23) /5

x = -2-244/23

- - - - - - - - - -

5

x = - 46-244 /23

- - - - - - - - - - -

5

x = - 290/23 × 1/5

x = - 290/115

So,

- 61 -290

y = - - - - - x = - - - - - -

23 115

Thank you....