The work of a student to solve the equation 2(6y − 3) = 20 + 6y is shown below:

step 1: 2(6y − 3) = 20 + 6y
step 2: 8y − 5 = 20 + 6y
step 3: 2y − 5 = 20
step 4: 2y = 25
step 5: y = 12.5

in which step did the student first make an error and what is the correct step?

step 2: 8y-5=10+3y
step 2: 12y-6=20+6y
step 3: 6y-3=2(18+3y)
step 3: 2(6y-3)=18+3y

1,918

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