2x+3y=13,4x+5y=23 cross multiplication

Answer 1

In equation

2 x + 3 y = 13

multiply both sides by 4

8 x + 12 y = 52

In equation

4 x + 5 y = 23

multiply both sides by 2

8 x + 10 y = 46

Subtract these two equations.

8 x + 12 y = 52
-
8 x + 10 y = 46
____________

2 y = 6

y = 6 / 2

y = 3

Put this value in equation:

2 x + 3 y = 13

2 x + 3 ∙ 3 = 13

2 x + 9 = 13

Subtract 9 from both sides

2 x = 4

x = 4 / 2

x = 2

The solution is:

x = 2 , y = 3

You can write solution as ( 2 , 3 )