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.

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

2c + x = 3
x = 3 - 2c

then substitute the result (3 - 2c) into the second equation:

-6c - 6(3 - 2c) = -4
-6c + (-6 x 3) + (-6 x -2c) = -4
-6c - 18 + 12c = -4
-6c + 12c = -4 + 18
6c = 14
c = \( \frac{14}{6} \)
c = 2\(\frac{1}{3}\)

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 x 3b = (7 x 3) (a x b) = 21ab

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

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).