5(2y - 1) = 3(y - 4)

how would i do this question/what is the answer?

Step-by-step explanation:

=10y - 5 = 3y - 12

=7y - 5 = -12

=7y = -7

y = 1

y = -1

Step-by-step explanation:

to solve this equation, you would solve for y by isolating y on one side of the equation

5(2y - 1) = 3(y - 4) < distribute 5 into 2y - 1 and 3 into y - 4

5(2y - 1)

5 x 2y = 10y

5 x - 1 = -5

= 10y - 5

3(y - 4)

3 x y = 3y

3 x -4 = -12

= 3y - 12

we get the new equation:

10y - 5 = 3y - 12 < add 12 to both sides to eliminate -12 from the right side

+ 12              + 12

10y + 7 = 3y < subtract 10y from both sides

-10y        -10y

7 = -7y < divide both sides by -7 to isolate y

7/-7 = -1

-7y/-7 = y

-1 = y

our solution to the equation is y = -1. we can see if this is an answer by plugging it in and seeing if both sides are equal, but its not necessary. i will show the check anyway:

CHECK

5(2y - 1) = 3(y - 4) when y = -1

5(2(-1) - 1) = 3((-1)- 4)

5(-2 - 1) = 3( -1 - 4)

5(-3) = 3(-5)

-15 = -15

both sides check out so y = -1 is a solution to the equation

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

step-by-step explanation:

i think its about 8