Question

Find the value of x, y, and z, in the rhombus below.

51-4
-2Z+8
46
-2x+6



please look at the picture

Answer 1

(x, y, z) = (-20, 10, -19)

Explanation:

You want the values of x, y, and z given a rhombus with sides marked (-2x+6), (5y-4), (-2z+8), and 46.

Rhombus

The side lengths of a rhombus are all the same. This tells us ...

• -2x +6 = 46
• 5y -4 = 46
• -2z +8 = 46

Solutions

Each of these 2-step equations can be solved by subtracting the unwanted constant and dividing by the coefficient of the variable.

x = (46 -6)/(-2) = -20

y = (46 -(-4))/5 = 10

z = (46 -8)/-2 = -19

The values of x, y, and z are -20, 10, and -19, respectively.