Question

1) 7(3y+3)=6(1-4y); 2) 8(3 -2x) - (x-2)=9

Answer 1

1) 7(3y+3)=6(1-4y)      21y+21=6-24y
     21y+24y=6-21
     45y=-15
      y=-15/45
     у=-1/3
Ответ. -1/3
2) 8(3 -2x) - (x-2)=9
   24-16х-х+2=9
     -17х=9-24-2
     -17х=-17
     х=1
Ответ. 1

Answer 2

Let's solve each equation step by step:

1. 7(3y + 3) = 6(1 - 4y)

First, distribute the multiplication on both sides:

21y + 21 = 6 - 24y

Next, let's group the y terms on one side and the constant terms on the other side:

21y + 24y = 6 - 21

Combine like terms:

45y = -15

Now, isolate the variable y by dividing both sides by 45:

y = -15/45

Simplify the fraction:

y = -1/3

So, the solution to the equation is y = -1/3.

2. 8(3 - 2x) - (x - 2) = 9

First, distribute the multiplication on the left side:

24 - 16x - (x - 2) = 9

Next, remove the parentheses by distributing the negative sign:

24 - 16x - x + 2 = 9

Combine like terms:

26 - 17x = 9

Now, isolate the variable x by moving constant terms to the other side:

-17x = 9 - 26

Simplify:

-17x = -17

Divide both sides by -17:

x = -17/-17

Simplify:

x = 1

So, the solution to the equation is x = 1.