Answer
x = 7.5 ; y = 3 ;
Work Step by Step
Figure is a rhombus with right angles = square
The diagonals bisect each other so:
2x - 1 = 3y + 5
2x = 3y + 6
AC = BD = 4x - y + 1
(2x - 1) + (3y + 5) = 4x - y + 1
2x + 3y + 4 = 4x - y + 1
Sub. 3y + 6 for 2x :
4y + 3 = 3y + 6
4y - 3y = 6 - 3
y = 3
And x = (4y + 3) / 2 = (4(3) + 3) / 2 = 15 / 2 = 7.5
x= 7.5 and y = 3
