You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

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 1. 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, -4) and (2, 6) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = 2\(\frac{1}{2}\)x + 1

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a⁵ + 6a⁵ = 9a⁵

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

-4a + z = -9
z = -9 + 4a

then substitute the result (-9 - -4a) into the second equation:

8a - 5(-9 + 4a) = 5
8a + (-5 x -9) + (-5 x 4a) = 5
8a + 45 - 20a = 5
8a - 20a = 5 - 45
-12a = -40
a = \( \frac{-40}{-12} \)
a = 3\(\frac{1}{3}\)

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.)