Using distributive property 3(16x +1-2y)
=(3+16)x + (3+12)y
= 1.9x +15y
Is this correct?

Step-by-step:  Step 1: Add -19x to both sides

 48x-6y+3+-19x=19x+15y+-19x

29x-6y+3=15y

Step 2: Add 6y to both sides

29x-6y+3+6y=15y+6y

29x+3=21y

Step 3: Add -3 to both sides

29x+3+-3=21y+-3

29x=21y-3

Step 4: Divide both sides by 29

29x/29=21y-3/29

x=21/29y+ -3/29

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