Question

I Need The Answer Plz Geometry Is Hard!!

Answer 1

x = 6, y = 9

Explanation:

One of the properties of a parallelogram is that the diagonals bisect each other, thus

y + 3 = 2x → (1)

2y = 3x → (2)

Subtract 3 from both sides in (1)

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

2(2x - 3) = 3x ← distribute left side

4x - 6 = 3x ( subtract 3x from both sides )

x - 6 = 0 ( add 6 to both sides )

x = 6

Substitute x = 6 in (3) for value of y

y = (2 × 6 ) - 3 = 12 - 3 = 9

Hence x = 6 and y = 9

Answer 2

x = 6 , y = 9

Since diagonals on a parallelogram bisect each other (meaning both sides of the diagonal are equal) you can set up these two equations:

2x = y + 3
3x = 2y

The way I solved this was by the substitution method.

I subtracted 3 on both sides and changed the first equation into:

2x - 3 = y

I then substituted that value into the “y” in the second equation:

3x = 2(2x - 3)

Distribute

3x = 4x - 6

Subtract 4x from both sides

-x = -6

Divide both sides by -1

x = 6

Then you substitute that value back into one of the original equations to find the value of y

3(6) = 2y
18 = 2y
9 =y

~~hope this helps~~