X is a whole number, if three quarter of x is subtracted from 1, the result is always greater than 0 ​

Step-by-step explanation:

"4 times a whole number" ... 4x

"is subtracted from three times the

square of the number"  ...  3x2 - 4x

"the result 15 is obtained"

3x2 - 4x = 15

Subtract 15 from both sides

3x2 - 4x - 15 = 0

This can be factored by grouping.  Multiply

the coefficient of x2 by the constant:

3(-15) = -45

Look for factors of -45 that add to -4:

-9(5)=-45  ...  -9+5 = -4

Replace -4x with -9x+5x and factor by grouping

3x2-9x +5x - 15 = 0

(3x2-9x) + (5x-15) = 0

3x(x-3) + 5(x-3) = 0

(3x+5)(x-3) = 0

Your two answers are found by realizing that

this is true if either

3x+5 = 0    or   (x-3) =0

Solve these two simple equations to get the

final two values of x

33

step-by-step explanation: g=6

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1