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.)

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

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).

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

6c + z = -4
z = -4 - 6c

then substitute the result (-4 - 6c) into the second equation:

9c + 7(-4 - 6c) = -2
9c + (7 x -4) + (7 x -6c) = -2
9c - 28 - 42c = -2
9c - 42c = -2 + 28
-33c = 26
c = \( \frac{26}{-33} \)
c = -\(\frac{26}{33}\)

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x² + x - 35 = -3x - 3
x² + x - 35 + 3 = -3x
x² + x + 3x - 32 = 0
x² + 4x - 32 = 0

Next, factor the quadratic equation:

x² + 4x - 32 = 0
(x - 4)(x + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 4) or (x + 8) must equal zero:

If (x - 4) = 0, x must equal 4
If (x + 8) = 0, x must equal -8

So the solution is that x = 4 or -8