If 3x–4=2(y–2),find x/y, where y ≠0

Solving for x, we could simply say

3x-4=2%28y-2%29-->3x=2%28y-2%29%2B4-->x=%282%28y-2%29%2B4%29%2F3 or x=2%28y-2%29%2F3%2B4%2F3 .

Not wrong, but that could be "simplified" further, and we may need to do that before dividing by y .

It may be better to get rid of those brackets from the start:

3x-4=2%28y-2%29-->3x-4=2y-4-->3x=2y-->x=2y%2F3<-->x=%282%2F3%29y .

Now,

x%2Fy=%282%2F3%29y%2Fy --> highlight%28x%2Fy=2%2F3%29 , for y%3C%3E0

(which in the case of 3x-4=2%28y-2%29 is equivalent to x%3C%3E0 ).

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.

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1