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

4c + x = 6
x = 6 - 4c

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

-3c - 1(6 - 4c) = 2
-3c + (-1 x 6) + (-1 x -4c) = 2
-3c - 6 + 4c = 2
-3c + 4c = 2 + 6
c = 8
c = \( \frac{8}{1} \)
c = 8

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.

(9a)(7ab) - (9a²)(7b)
(9 x 7)(a x a x b) - (9 x 7)(a² x b)
(63)(a¹⁺¹ x b) - (63)(a²b)
63a²b - 63a²b
0a²b

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a² - 10a + 24 = 0
(a - 4)(a - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 4) or (a - 6) must equal zero:

If (a - 4) = 0, a must equal 4
If (a - 6) = 0, a must equal 6

So the solution is that a = 4 or 6

The volume of a cylinder is πr²h:

v = πr²h
v = π(4² x 6)
v = 96π

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:

(y - 6)(y + 4)
(y x y) + (y x 4) + (-6 x y) + (-6 x 4)
y² + 4y - 6y - 24
y² - 2y - 24