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