To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(8ab) + (7a²)(2b)
(7 x 8)(a x a x b) + (7 x 2)(a² x b)
(56)(a¹⁺¹ x b) + (14)(a²b)
56a²b + 14a²b
70a²b

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 10cm + 14cm + 5cm = 29cm

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

6c + z = -1
z = -1 - 6c

then substitute the result (-1 - 6c) into the second equation:

8c + 1(-1 - 6c) = 8
8c + (1 x -1) + (1 x -6c) = 8
8c - 1 - 6c = 8
8c - 6c = 8 + 1
2c = 9
c = \( \frac{9}{2} \)
c = 4\(\frac{1}{2}\)

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.

7x - 6 = \( \frac{x}{-6} \)
-6 x (7x - 6) = x
(-6 x 7x) + (-6 x -6) = x
-42x + 36 = x
-42x + 36 - x = 0
-42x - x = -36
-43x = -36
x = \( \frac{-36}{-43} \)
x = \(\frac{36}{43}\)