Answer:
#9:
x=17
y=17
#10:
x=9
y=8
Step-by-step explanation:
#9: We know that A=D; G=F; and B=E.
To find x we need to set up an equation so that A=D (87=5x+2)
Now we need to solve:
87=5x+2
87-2=5x+2-2
85=5x
85/5=5x/5
17=x
To find y we need to write an equation so G=F, but since we don't know the value of F, we need to find that first, (180= E+D+F)
180= E+D+F
180= 42+87+F
180=129+F
180-129=129+F-129
51=F
Now that we know what F is we can write that equation (51=3y) and solve:
51=3y
51/3=3y/3
17=y
#10: We know that H=T; J=R; and K=S.
To solve for x, we need to write an equation so that H=T (51=6x-3)
Now solve:
51=6x-3
51+3=6x-3+3
54=6x
54/6=6x/6
9=x
To solve for y, we need to write an equation so that S=K, but since we don't know the value of S, we need to find that first.
180=T+R+S
180=51+83+S
180=134+S
180-134=134+S-134
46=S
Now we can write that equation (46=7y-10), and solve:
46=7y-10
46+10=7y-10+10
56=7y
56/7=7y/7
8=y
I Really Hope This Helps :)
