<span>The number 8.5 is being added. </span>
1/3 + 7x = 1/3 + 7(5 )=
1/3+35
=1/3 + 105/3 =
106/3=
35 1/3
-4 (5y + 5) = -120
multiply the bracket by -4
(-4)(5y)=-20y
(-4)(5)=-20
-20y-20=-120
move -20 to +20
-20y-20+20=-120+20
-20y=-120+20
-20y=-100
divide both sides by -20 to get y by itself
-20y/-20=-100/-20
Answer: y=5
X² +18x = 0
To complete the square we are going to use formula a² +2ab +b² = (a+b)²
x² +2*9*x = 0
x² +2*9x+9² = 9²
(x+9)² = 9²
√(x+9)² = +/-√9²
x+9 = 9, or x+9 = -9
x=0, or x= - 18
The equation could be solved different way
x² +18x = 0
x(x+18) = 0
x=0 or x+18=0
x=0 or x=-18
Width = x
length = 3x + 4
x + x + 3x + 4 + 3x + 4 = 60
add
8x + 8 = 60
subtract
8x = 52
x = 6.5
width = 6.5
length = 23.5