Question

Solve.5x+2y=13;4x-3y=15.​

Answer 1

Given equation

5x + 2y = 13             (i)

4x - 3y = 15                (ii)

To Find

Value of x and y

Now take

5x + 2y = 13             (i)

5x = 13 -2y

x = (13 - 2y)/5      (iii)

Now Put the value of x on (ii) equation

4x - 3y = 15                (ii)

4(13 - 2y)/5 -3y = 15

By taking LCM

4(13 - 2y) - 15y = 15×5

52 - 8y - 15y = 75

-23y = 75 - 52

-23y = 23

y = -1

Now Put the value of y on (iii) eq

x = (13 - 2y)/5      (iii)

x = (13 - 2(-1))/5

x = ( 13 + 2)/5

x = 15/5

x = 3

Answer

X = 3 and y = -1