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 (c) on one side of the equation and put everything else on the other side.

3c + 2y = -3c - 7y + 4
3c = -3c - 7y + 4 - 2y
3c + 3c = -7y + 4 - 2y
6c = -9y + 4
c = \( \frac{-9y + 4}{6} \)
c = \( \frac{-9y}{6} \) + \( \frac{4}{6} \)
c = -1\(\frac{1}{2}\)y + \(\frac{2}{3}\)

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 0. 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:

Plugging these values into the slope-intercept equation:

y = x + 0

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(7 + 6)(4)
a = ½(13)(4)
a = ½(52) = \( \frac{52}{2} \)
a = 26

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.