Y=19x+19b
To solve for b you first need to subtract 19x from both sides giving you:
y-19x=19b
Then, divide by 19 on both sides to get
(y/19)-x=b
So b=(y/19)-x
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The equation for the area of a circle is A = PI x r^2
R = radius, which is half the diameter = 23/2 = 11.5
Area = 3.14 x 11.5^2
Area = 3.14 x 132.25
Area = 415.265 square cm.
I'm solving your system by substitution.
2x-4=5, 5x+4y =2
Step# 1: solve for x
2x - 4+ 4= 5 + 4( add +4 to both sides)
2x = 9
x = 9/2
Step# 2: solve for y
5(9/2) + 4y = 2
4y + 45/2 = 2
4y 45
y = 45/4 = 11.25
The linear equation:
y = k x + b
We will use first two values and solve the system of equations:
11 = k * 7 + b / *(-1)
13 = k * 8 + b
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-11 = - k * 7 - b
13 = k * 8 + b
----------------------
2 = k
13 = 16 + b
b = 13 - 16 = -3
y = 2 x - 3 ( y varies directly with x )