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

Answer:

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

Step-by-step 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

Answer 2

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step 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)

$\frac{1}{3} (x+6)=\frac{2}{3} (x-9)\\\frac{1}{3} x+2=\frac{2}{3} x-6\\2=\frac{1}{3}x -6\\8=\frac{1}{3} x\\x=24$