Ihow do we simplify-3(4x - 5y + 6) + 8x - 9

Step-by-step explanation:

By using the distributive formula, you can solve this:

-a(b - c + d) = -ab + ac - ad

-3(4x - 5y + 6) + 8x - 9

Use distributive property:

-12x + 15y - 18 + 8x - 9

Add/Subtract by the common terms:

-12x + 8x = -4x

-18 - 9 = - 27

Plug it back into an equation:

= -4x + 15y - 27

That is your answer!!

Hope that helped

~A̷l̷i̷s̷h̷e̷a̷♡

-4x + 15y - 27

Step-by-step explanation:

-3 (4x -5y + 6) = -3*4x, -3* -5y and -3*6

-3*4x= -12x

-3*-5y= 15y

-3*6= -18

-12x + 15y -18 +8x - 9

Combine like terms (-12x + 8x) and (-18 - 9)

12-8 = 4 and 18+9 = 27 now flip the signs, add the variables back on (the letters) and carry down what was remaining (15y)

-4x + 15y -27

C: none of these are solutions to the given equation.

• If y(x) = e², then y is constant and y' = 0. Then y' - y = -e² ≠ 0.

• If y(x) = x, then y' = 1, but y' - y = 1 - x ≠ 0.

The actual solution is easy to find, since this equation is separable.

y' - y = 0

dy/dx = y

dy/y = dx

∫ dy/y = ∫ dx

ln|y| = x + C

y = exp(x + C )

y = C exp(x) = C eˣ