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

-4c + x = 7
x = 7 + 4c

then substitute the result (7 - -4c) into the second equation:

-8c - 8(7 + 4c) = -5
-8c + (-8 x 7) + (-8 x 4c) = -5
-8c - 56 - 32c = -5
-8c - 32c = -5 + 56
-40c = 51
c = \( \frac{51}{-40} \)
c = -1\(\frac{11}{40}\)

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, -2) and (2, 2) so the slope becomes:

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)(4ab) - (5a²)(3b)
(4 x 4)(a x a x b) - (5 x 3)(a² x b)
(16)(a¹⁺¹ x b) - (15)(a²b)
16a²b - 15a²b
1a²b

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 binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.