Answer: ( x,y ) = ( 96/43, 152/43 )
Explanation:
rewrite the expression
2x + y=8
11 1/2 x X - 5y=8
mixed fraction btw.
simplify
2x + y =8
23x - 10y = 16
multiply both sides
20x + 10y = 80
23x - 10y = 16
eliminate one variable by adding the equations
43x =96
divide both sides
x = 96/43
substitute the value of x
2 x 96/43 + y = 8
solve the equation
y = 152/43
a possible solution is
( x,y ) = ( 96/43, 152/43 )
check solution
simplify
8 = 8 = 8
the ordered paired is a solution!
final answer: ( x,y ) = ( 96/43, 152/43 )