Question

`Simplify\;each\;of\;the\;following\;equations\;for\;50\;points!\\\\1...\;6(y + 7) = 2(y - 3)\\2...\;3x + 2(x - 5) =25\\3...\;10q + 3q + 5 = 2(q - 3)\\4...\;1/3(x + 6) = 2/3(x - 9)\\\\`

Answer 1

Hello!!! Princess Sakura here ^^

Explanation:

1)

`6(y+7)=2(y-3)\\6y+42=2y-6\\4y+42=-6\\4y=-48\\y=-12`

2)

`3x+2(x-5)=25\\3x+2x-10=25\\5x-10=25\\5x=35\\x=7`

3)

`10q+3q+5=2(q-3)\\13q+5=2q-6\\11q+5=-6\\11q=-11\\q=-1`

4)

`(1)/(3) (x+6)=(2)/(3) (x-9)\\(1)/(3) x+2=(2)/(3) x-6\\2=(1)/(3)x -6\\8=(1)/(3) x\\x=24`

Answer 2

1. y= -12
2. x = 7
3. q = -1
4. x = 24

Explanation:

1. ..............................................

• 6(y + 7) = 2(y - 3)
• 6y + 42 = 2y - 6
• 6y - 2y = -6 - 42
• 4y = -48
• y = -12

2...............................................

• 3x + 2(x - 5) = 25
• 3x + 2x - 10 = 25
• 5x = 25 + 10
• 5x = 35
• x = 7

3 . ..............................................

• 10q + 3q + 5 = 2(q - 3)
• 13q + 5 = 2q - 6
• 13q - 2q = -6 - 5
• 11q = -11
• q = -1

4. ..............................................

• 1/3(x + 6) = 2/3(x - 9)
• 3*1/3(x+6) = 3*2/3(x - 9)
• x + 6 = 2(x - 9)
• x + 6 = 2x - 18
• 2x - x = 6 + 18
• x = 24