Question

FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y

Answer 1

`x=5`

`y=8`

`z=-3`

Explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

`3x-3=x+7`

`3x-x-3=x-x+7`

`2x-3=7`

`2x-3+3=7+3`

`2x=10`

`(2x)/(2)=(10)/(2)`

`x=5`

Similarly, we will solve for y.

`2y-6=y+2`

`2y-y-6=y-y+2`

`y-6=2`

`y-6+6=2+6`

`y=8`

To solve for z, we will subtract y from x as:

`z=x-y\\z=5-8\\z=-3`

Therefore, the value of z is negative 3.