# Math help :(

posted by Princess Anna

I don't get any of these practice problems.

5. 2(x – 3) = 2x

one solution
no solutions
infinitely many solutions

6. 3(y – 3) = 2y – 9 + y

one solution
no solutions
infinitely many solutions

7. 10x – 2 – 6x = 3x – 2 + x

one solution
no solutions
infinitely many solutions

8. 4(x + 3) + 2x = x – 8

one solution
no solutions
infinitely many solutions

1. Damon

2. Chelle

2(x-3) = 2x
2x - 6 = 2x
Move 2x to the left side and change sign. Then put zero after the equal sign.

2x - 2x - 6 = 0

2x's cancels out.
0 = 6

No Solution
________________________________

3(y - 3)= 2y - 9 + y
3y - 9 = 3y - 9
Move 3y to the left and -9 to the right and change their signs.
3y - 3y = - 9 + 9
0 = 0

All real numbers > many solutions
____________________________________

10x - 2 - 6x = 3x - 2 + x
4x - 2 = 4x - 2
Same as problem 6
___________________________________

4(x + 3)+ 2x = x - 8
4x + 12 + 2x = x - 8
6x + 12 = x - 8
Move x to the left and 12 to the right, then change their signs.

6x - x = -20
5x = -20
x = -4 > one solution

3. Damon

Decide whether each equation has one solution, no solutions, or infinitely many solutions.
1. 2(x - 3) = 2x
A. one solution B. no solutions C. infinitely many solutions
2. 3(y - 3) = 2y - 9 + y
A. one solution B. no solutions C. infinitely many solutions
3. 10x - 2 - 6x = 3x - 2 + x
A. one solution B. no solutions C. infinitely many solutions 4. 4(x + 3) + 2x = x - 8 A. one solution B. no solutions C. infinitely many solutions

1. 2(x - 3) = 2x -- distribute through the parenthesis 2x - 6 = 2x -- add 6 to both sides 2x = 2x + 6 -- subtract 2x from both sides
2x - 2x = 6 0 = 6 (incorrect)
If you answer comes out not equal, then there is no solution

2. 3(y - 3) = 2y - 9 + y -- distribute and combine 3y - 9 = 3y - 9 -- subtract 3y 3y - 3y - 9 = - 9 -- add 9 3y - 3y = -9 + 9 0 = 0 (correct)

4. Damon

If you answer comes out equal, then there is infinite solutions
3. 10x - 2 - 6x = 3x - 2 + x -- combine like terms 4x - 2 = 4x - 2 same thing here...it is gonna come out to 0 = 0 making it have infinite solutions
4. 4(x + 3) + 2x = x - 8 4x + 12 + 2x = x - 8 6x + 12 = x - 8 6x - x = -8 - 12 5x = - 20
x = -4
ONE SOLUTION

5. Anonymous

ze furtse fart that is correct by yht way...

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