Question

6y+2(5y-10)=22; 3(5x-7)+5=3(2x+3)

Answer 1

Ответ: y=21/8; x=25/9

Пошаговое объяснение:

6y+2(5y-10)=22               3(5x-7)+5=3(2x+3)

6y+10y-20=22                 15x-21+5=6x+9

6y+10y=22+20                15x-6x=9+21-5

16y=42                             9x=25

16y/16 = 42/16                  x=25/9

y=46/16

y=21/8

Answer 2

Let's solve the given equations step-by-step:

1. 6y + 2(5y - 10) = 22

First, distribute the 2 on the left side of the equation:

6y + 10y - 20 = 22

Combine like terms:

16y - 20 = 22

Now, isolate the variable by adding 20 to both sides of the equation:

16y = 42

Finally, solve for y by dividing both sides by 16:

y = 42 / 16

y ≈ 2.625

So, the solution for the first equation is y ≈ 2.625.

2. 3(5x - 7) + 5 = 3(2x + 3)

First, distribute the 3 on both sides of the equation:

15x - 21 + 5 = 6x + 9

Combine like terms:

15x - 16 = 6x + 9

Now, isolate the variable by moving all terms with x to one side and constants to the other side:

15x - 6x = 9 + 16

9x = 25

Finally, solve for x by dividing both sides by 9:

x = 25 / 9

x ≈ 2.778

So, the solution for the second equation is x ≈ 2.778.

Please note that these solutions are approximate decimals rounded to three decimal places.