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n = 3.8

Step-by-step explanation:

First, we would distribute 0.3 with n and 1.5.

0.3(n - 5) = 0.4 - 0.2n → 0.3n - 1.5 = 0.4 - 0.2n

Next, we can move the number with the variable to one side.

0.2n + 0.3n - 1.5 = 0.4 - 0.2n + 0.2n → 0.2n + 0.3n - 1.5 = 0.4

(Because we added 0.2n to the negative 0.2n on the right side, it cancels it out)

We can also move 1.5 to the right side of the equation as well.

0.2n + 0.3n - 1.5 + 1.5 = 0.4 + 1.5 → 0.2n + 0.3n = 0.4 + 1.5

Then, we combine like terms

0.2n + 0.3n = 0.5n & 0.4 + 1.5 = 1.9 → 0.5n = 1.9

Finally, we divide both sides by 0.5.

n = 3.8

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

2

step-by-step explanation: