When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-2b + 7z = 6b + 5z - 7
-2b = 6b + 5z - 7 - 7z
-2b - 6b = 5z - 7 - 7z
-8b = -2z - 7
b = \( \frac{-2z - 7}{-8} \)
b = \( \frac{-2z}{-8} \) + \( \frac{-7}{-8} \)
b = \(\frac{1}{4}\)z + \(\frac{7}{8}\)

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. 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, -4) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x - 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)(5ab) - (5a²)(5b)
(7 x 5)(a x a x b) - (5 x 5)(a² x b)
(35)(a¹⁺¹ x b) - (25)(a²b)
35a²b - 25a²b
10a²b