If we add same number to both sides the equation will remain true. For example if we have 5=5, and we add 7 to both sides, we get 12=12 which is also true. Now let's do this with our equation. Add 4 to both sides(to have only y on the left side). We get 2y=16, hence y=8.

Answer. 2y=16

3 0

3 years ago

X – 4x < 5x + 16 solve for x

Margaret [11]

Answer:

x>-2

Step-by-step explanation:

x-4x<5x+16

Subtract 5x from both sides:

x-4x-5x<16

Combine like terms:

-8x<16

Divide both sides by 8:

-x<2

Divide both sides by -1:

x>-2

Hope this helps!

3 0

3 years ago

Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.

Misha Larkins [42]

Answer:

a) The slope of the function is 3.

c) The equation is represented by $n(t) = 3\cdot t + 35$ .

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

$n(t) = m\cdot t + n_{o}$ (1)

Where:

$m$ - Slope, measured in number of pieces per minute.

$t$ - Time, measured in minutes.

$n_{o}$ - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

$n$ - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that $n(15\,min) = 80\,p$ and $n(45\,min) = 170\,p$ , then the following system of linear equations is formed: