To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-7a + 3y = 3a - 4y - 9
-7a = 3a - 4y - 9 - 3y
-7a - 3a = -4y - 9 - 3y
-10a = -7y - 9
a = \( \frac{-7y - 9}{-10} \)
a = \( \frac{-7y}{-10} \) + \( \frac{-9}{-10} \)
a = \(\frac{7}{10}\)y + \(\frac{9}{10}\)

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 1 x 2
a = 2

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

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°).

The volume of a cylinder is πr²h:

v = πr²h
v = π(7² x 6)
v = 294π