(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)

− 3 a ^3 + 5 a ^2 − 3 a + 7

Step-by-step explanation:

Apply the distributive property.

a ^3 − 2 a + 5 − ( 4 a ^3 ) − ( − 5 a ^2 ) − a −  − 2

Simplify.

a ^3 − 2 a + 5 − 4 a ^3 + 5 a ^2 − a + 2

Simplify by adding terms.

Subtract  4 a ^3  from  a ^3 .

− 3 a ^3 − 2 a + 5 + 5 a ^2 − a + 2

Subtract  a  from  − 2 a .

− 3 a ^3 − 3 a + 5 + 5 a ^2 + 2

Simplify the expression.

Add  5  and  2 .

− 3 a^ 3 − 3 a + 5 a ^2 + 7

Move  − 3 a .

− 3 a ^3 + 5 a ^2 − 3 a + 7

I hope this helped. I am sorry if you get this wrong.

{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

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll