Find the difference of (2n−9)−5(−2.4n+4)

2.071428571

Step-by-step explanation:Simplifying

(2n + -9) + -5(-2.4n + 4) = 0

Reorder the terms:

(-9 + 2n) + -5(-2.4n + 4) = 0

Remove parenthesis around (-9 + 2n)

-9 + 2n + -5(-2.4n + 4) = 0

Reorder the terms:

-9 + 2n + -5(4 + -2.4n) = 0

-9 + 2n + (4 * -5 + -2.4n * -5) = 0

-9 + 2n + (-20 + 12n) = 0

Reorder the terms:

-9 + -20 + 2n + 12n = 0

Combine like terms: -9 + -20 = -29

-29 + 2n + 12n = 0

Combine like terms: 2n + 12n = 14n

-29 + 14n = 0

Solving

-29 + 14n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '29' to each side of the equation.

-29 + 29 + 14n = 0 + 29

Combine like terms: -29 + 29 = 0

0 + 14n = 0 + 29

14n = 0 + 29

Combine like terms: 0 + 29 = 29

14n = 29

Divide each side by '14'.

n = 2.071428571

Simplifying

n = 2.071428571

Answers

-x + 5y = 4  ⇔ slope 1/5, y-intercept 4/5

5y - x = 15  ⇔   slope: 1/5, y-intercept: 3

2y - 3x = 7  ⇔ slope: 3/2, y-intercept: 7/2

2y = 5x + 7  ⇔ slope: 5/2, y-intercept: 7/2

Explanation

-x + 5y = 4

5y = x + 4

y = (1/5)x + 4/5                   slope 1/5, y-intercept 4/5

5y - x = 15

5y = x + 15

y = (1/5)x + 3                       slope: 1/5, y-intercept: 3

2y - 3x = 7

2y = 3x + 7

y = (3/2)x + 7/2                 slope: 3/2, y-intercept: 7/2

2y = 5x + 7

y = (5/2)x + 7/2              slope: 5/2, y-intercept: 7/2