Solve this equation for x:
0.5(5-7x)= 8- (4x+ 6)

-1

Step-by-step explanation:

0.5(5-7X) = 8 - (4X+6)

Expand the L.H.S by multiplying it by 0.5 and expand the bracket on the R.H.S by multiplying with -1

2.5 - 3.5X = 8 - 4X -6

Collect like terms

-3.5X + 4X = 8 - 6 - 2.5

0.5X = -0.5

Divide both sides by 0.5

X = -1

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

it would rotate about 180 degrees.