Answer:
x = 4, y = 1
Step-by-step explanation:
The opposite sides of a rectangle are congruent , thus
x = 4y → (1)
3x - 10 = 2y → (2)
Substitute x = 4y into (2)
3(4y) - 10 = 2y, that is
12y - 10 = 2y ( subtract 2y from both sides )
10y - 10 = 0 ( add 10 to both sides )
10y = 10 ( divide both sides by 10 )
y = 1
Substitute y = 1 into (1)
x = 4(1) = 4
Thus x = 4 and y = 1