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.

6a + 6x = 2a + x - 9
6a = 2a + x - 9 - 6x
6a - 2a = x - 9 - 6x
4a = -5x - 9
a = \( \frac{-5x - 9}{4} \)
a = \( \frac{-5x}{4} \) + \( \frac{-9}{4} \)
a = -1\(\frac{1}{4}\)x - 2\(\frac{1}{4}\)

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

-7a + x = 3
x = 3 + 7a

then substitute the result (3 - -7a) into the second equation:

a + 8(3 + 7a) = 2
a + (8 x 3) + (8 x 7a) = 2
a + 24 + 56a = 2
a + 56a = 2 - 24
57a = -22
a = \( \frac{-22}{57} \)
a = -\(\frac{22}{57}\)

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 2) + (2 x 2 x 7) + (2 x 6 x 7)
sa = (24) + (28) + (84)
sa = 136

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

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.

(4a)(8ab) + (3a²)(4b)
(4 x 8)(a x a x b) + (3 x 4)(a² x b)
(32)(a¹⁺¹ x b) + (12)(a²b)
32a²b + 12a²b
44a²b