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

8c + x = -1
x = -1 - 8c

then substitute the result (-1 - 8c) into the second equation:

2c - 5(-1 - 8c) = 4
2c + (-5 x -1) + (-5 x -8c) = 4
2c + 5 + 40c = 4
2c + 40c = 4 - 5
42c = -1
c = \( \frac{-1}{42} \)
c = -\(\frac{1}{42}\)

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c² + c - 2 = 0
(c - 1)(c + 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c + 2) must equal zero:

If (c - 1) = 0, c must equal 1
If (c + 2) = 0, c must equal -2

So the solution is that c = 1 or -2

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-8b + 8 = \( \frac{b}{2} \)
2 x (-8b + 8) = b
(2 x -8b) + (2 x 8) = b
-16b + 16 = b
-16b + 16 - b = 0
-16b - b = -16
-17b = -16
b = \( \frac{-16}{-17} \)
b = \(\frac{16}{17}\)

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).