Please solve this question by using the strategy Elimination Method or Solve By Substitution. This is the math equation: 1/2x+y=15 and -x-1/3y=-6 2nd Question: 5/6x+1/3y=0 and 1/2x-2/3y=3

First pair of equations :

Multiply 2 to equation (i), we get

By Elimination Method, Add (i) and (ii) (term with x eliminate), we get

put y= 14.4 in (iii), we get

hence, x=1.2 and y =14.4

Second pair of equations :

Multiply 2 to equation (i), we get

Elimination Method, Add (i) and (ii) (term with y eliminate) , we get

put   in (i), we get

hence,   and .

360 different combinations

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2