What is the value of x in the equation 6(x + 1) - 5x = 8 + 2(x - 1)?
ОО
7
4
O 12

6(x+1)-5x=8+2(x-1)

6x+6-5x=8+2x-2

6x-5x-2x=8-6-2

-1x

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

the radius is multiplied by √6.

step-by-step explanation:

if a circle has a radius of 10.9 cm and the area is multiplied by 6, the radius is multiplied by √6.