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

-8c + z = 2
z = 2 + 8c

then substitute the result (2 - -8c) into the second equation:

-2c - 3(2 + 8c) = -2
-2c + (-3 x 2) + (-3 x 8c) = -2
-2c - 6 - 24c = -2
-2c - 24c = -2 + 6
-26c = 4
c = \( \frac{4}{-26} \)
c = -\(\frac{2}{13}\)

The volume of a cylinder is πr²h:

v = πr²h
v = π(1² x 4)
v = 4π

When solving an equation with two variables, 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.)

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).

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a² - 9a² = -3a²