Question

Consider the figure below. Find the values of x y and zValue of x:Value of y:Value of z:

Answer 1

x= 7, y= 9 z =90

1) From the figure we can state

9x- 7 +5y-11 =90 ⇒ 9x +5y=90+11+7 ⇒ 9x +5y =108

13y+7 +9x-7=180 ⇒ 9x +13y = 180

8x +5y-11 +z= 180

⇒

2) Setting a Linear system:

9x +5y =108 Multiply by -1

9x +13y = 180

-9x -5y =-108

9x +13y = 180

--------------------------

8y = 72

y = 9

9x + 5(9)=108

9x +45=108

9x=108-45

9x=63

x=7

8x +5y-11 +z= 180

8(7) +5(9)-11 +z= 180

90+z=180

z=180-90

z=90

2) x= 7, y= 9 z =90