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

-9b + x = 9
x = 9 + 9b

then substitute the result (9 - -9b) into the second equation:

-6b - 9(9 + 9b) = -9
-6b + (-9 x 9) + (-9 x 9b) = -9
-6b - 81 - 81b = -9
-6b - 81b = -9 + 81
-87b = 72
b = \( \frac{72}{-87} \)
b = -\(\frac{24}{29}\)

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)(2ab) - (3a²)(5b)
(7 x 2)(a x a x b) - (3 x 5)(a² x b)
(14)(a¹⁺¹ x b) - (15)(a²b)
14a²b - 15a²b
-1a²b

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 5) and (2, -3) so the slope becomes:

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

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.