You need to find the value of b so solve the first equation in terms of z:

-2b + z = 3
z = 3 + 2b

then substitute the result (3 - -2b) into the second equation:

8b - 8(3 + 2b) = -5
8b + (-8 x 3) + (-8 x 2b) = -5
8b - 24 - 16b = -5
8b - 16b = -5 + 24
-8b = 19
b = \( \frac{19}{-8} \)
b = -2\(\frac{3}{8}\)

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(6²) + 2π(6 x 8)
sa = 2π(36) + 2π(48)
sa = (2 x 36)π + (2 x 48)π
sa = 72π + 96π
sa = 168π

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-8c(c - z)
-8(2)(2 - 3)
-8(2)(-1)
(-16)(-1)
16

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).