3x - 5y = 24
-3x – 6y = 9
Solve the system of equation by elimination (addition)

(3, - 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = 24 → (1)

- 3x - 6y = 9 → (2)

Adding the 2 equations term by term will eliminate the x- term, that is

- 11y = 33 ( divide both sides by - 11 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

3x - 5(- 3) = 24

3x + 15 = 24 ( subtract 15 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 3 )

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.