Question

23x + 31y = 77,31x + 23y = 85​

Answer 1

Given:

23x + 31y = 77 and 31x + 23y = 85.

To find:

The values of x and y.

Solution:

First,

23x + 31y = 77

23x = 77 - 31y

x = 77 - 31y / 2

Substitute x = 77 - 31y / 2 in 31x + 23y = 85

31x + 23y = 85

31(77 - 31y / 2) + 23y = 85

2387 - 961y / 2 + 23y = 85

2387 - 961y + 46y / 2 = 85

2387 - 915y = 85 * 2

2387 - 915y = 170

2387 - 170 = 915y

2217 = 915y

Therefore, y = 2217 / 915 = 2.422 which is similar to 2.4

Substitute y = 2.4 in 23x + 31y = 77

23x + 31y = 77

23x + 31 * 2.4 = 77

23x + 74.4 = 77

23x = 77 - 74.4

23x = 2.6

x = 2.6 / 23 = 0.113 which is similar to 0.1

Conclusion:

Therefore, x = 2.4 and y = 0.1

$<marquee> HOPE IT HELPS YOU...................XD$

Answer 2

Given:

23x + 31y = 77 and 31x + 23y = 85.

To find:

The values of x and y.

Solution:

Solution:First,

23x + 31y = 77

23x = 77 - 31y

x = 77 - 31y / 2

Substitute x = 77 - 31y / 2 in 31x + 23y = 85

31x + 23y = 85

31(77 - 31y / 2) + 23y = 85

2387 - 961y / 2 + 23y = 85

2387 - 961y + 46y / 2 = 85

2387 - 915y = 85 * 2

2387 - 915y = 170

2387 - 170 = 915y

2217 = 915y

Therefore, y = 2217 / 915 = 2.422 which is similar to 2.4

Substitute y = 2.4 in 23x + 31y = 77

23x + 31y = 77

23x + 31 * 2.4 = 77

23x + 74.4 = 77

23x = 77 - 74.4

23x = 2.6

x = 2.6 / 23 = 0.113 which is similar to 0.1

Conclusion:

Therefore, x = 2.4 and y = 0.1