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

6c + y = 7
y = 7 - 6c

then substitute the result (7 - 6c) into the second equation:

8c + 3(7 - 6c) = 8
8c + (3 x 7) + (3 x -6c) = 8
8c + 21 - 18c = 8
8c - 18c = 8 - 21
-10c = -13
c = \( \frac{-13}{-10} \)
c = 1\(\frac{3}{10}\)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 23° = 120°

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.

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.)

-2c(c - z)
-2(-6)(-6 - 3)
-2(-6)(-9)
(12)(-9)
-108

The volume of a cylinder is πr²h:

v = πr²h
v = π(7² x 3)
v = 147π