The following stops are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).
Step 1: (3x + 12y) + (10x - 5y)
Step 2: (3x + 12y) + (-5y + 10x)
Step 3: 3x + (12y - 5y) + 10x
Step 4: 3x + 10x + (12y - 5y)
Step 5: 13x + 7y
Identify the property used in each of the steps:

10

step-by-step explanation:

7+3=10

21

step-by-step explanation:

answer:

step-by-step explanation:

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