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

6c + y = -8
y = -8 - 6c

then substitute the result (-8 - 6c) into the second equation:

5c - 1(-8 - 6c) = 5
5c + (-1 x -8) + (-1 x -6c) = 5
5c + 8 + 6c = 5
5c + 6c = 5 - 8
11c = -3
c = \( \frac{-3}{11} \)
c = -\(\frac{3}{11}\)

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 8² + 1²
c² = 64 + 1
c² = 65
c = \( \sqrt{65} \)

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

sa = 2πr² + 2πrh
sa = 2π(4²) + 2π(4 x 4)
sa = 2π(16) + 2π(16)
sa = (2 x 16)π + (2 x 16)π
sa = 32π + 32π
sa = 64π