the given expression is
-9x + y = 14 ( 1 )
4x - 8y = 24 ( 2 )
to simplify the (2)
4x - 8y = 24
divide by 4
x -2y = 6 ( 3 )
the system of equation, appy substitution method :
Solve the equation ( 3 ) for x
x - 2y = 6
x = 6 + 2y
Substitute the value of x in the equation ( 1 )
-9x + y = 14
-9(6 + 2y) + y = 14
-54 -18y +y = 14
-17y = 14 + 54
-17y = 68
y = -68/17
y = -4
substitute the value of y = ( - 4) in the equation ( 3 )
x - 2y = 6
x -2( -4) = 6
x + 8 = 6
x = 6 - 8
x = ( - 2 )
Answer : x = ( - 2 ) and y = ( - 4 )