Question

In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y.

Answer 1

Value of x: 2.5

Value of y: -0.5

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To find x:

x + 1 = 3x - 4

-x         -x

1 = 2x - 4

+4      +4

5 = 2x

--    ---

2     2

2.5 = x

Check:

2.5 + 1 = 3(2.5) - 4

3.5 = 7.5 - 4

3.5 = 3.5

To find y:

3y = 5y + 1

-5y   -5y

-2y = 1

---      ----

-2       -2

y = -0.5

Check:

3(-0.5) = 5(-0.5) + 1

-1.5 = -2.5 + 1

-1.5 = -1.5