Answer:
x=3 and y=4
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, or equal.
Therefore, (4x+6) = (7x-3) and (4y-3) = (3y+1)
4x+6 = 7x-3 –– Subtract 4x from both sides
6=3x-3 –– Add 3 to both sides
9=3x –– Divide both sides by 3 to get x alone
3=x
4y-3 = 3y+1 –– Subtract 3y from both sides
y-3=1 –– Add 3 to both sides
y=4
Check by substituting:
4(3)+6 = 7(3)-3
12+6 = 21-3
18 = 18
4(4)-3 = 3(4)+1
16-3 = 12+1
13 = 13
