How many solutions does the equation have? 2(2x+5)=4(x+3) A. one solution B. infinite solutions C. no solution
2(2x+5)=4(x+3) 4x+10=4x+12
Is that true for any values of x?
no solution?
Yes
Thank You!
Yw !
How many solutions does the equation have? a+5=1/5(5a+25) A. one solution B. infinite solutions C. no solution What about this one i think infinite solutions
\(\large\color{black}{ a+5=\frac{1}{5}(5a+25)}\) like this?
yes
then you are correct - "infinte solutions" is the right answer.
Because when you expand the right side, you get: \(\large\color{black}{ a+5=\frac{1}{5}(5a+25)}\) \(\large\color{black}{ a+5=a+5}\) and that is true for any value of a.
Thank you again!
You welcome, again! :)
I have 3 more
if you could check them
Alright...
How many solutions does the equation have? 4x + 2(x-3)=8x + 12 A. one solution B. infinite solutions C. no solution
what did you choose?
A?
Yes, correct!
Thank You!!
yw
Which expressions would complete this equation so that it has infinitely many solutions? 8 + 2(8x – 6) = Choose exactly two answers that are correct. A. 2(4x + 7) B. 9x – 10 C. 16x – 4 D. 4(4x – 1)
and your choice was?
C and D?
Or A and D?
8 + 2(8x – 6) = 8 + 16x – 12 = 16x – 4. ` same = same ` ----> ` 8 + 2(8x – 6) = 16x - 4 ` C is right
So C and D?
8 + 2(8x – 6) = 8 + 4(4x – 3) = 8 + 4(4x – 1 - 2) = 8 + 4(4x – 1) + (-2)(4) = 8 + 4(4x – 1) -8 = 4(4x – 1) =
yes, C and D
Thanks Again!!! I have one more
k
What is the best way to classify each equation? Column AColumn B 1. 8x + 24=2(4x+12) 2. 5x + 18-x=2(2x+8) 3. 7(3x-2)=20x-13 4. 3x + 2(x-10)=5(x-4) A. identity B. contradiction C. neither @SolomonZelman
Can you write the Columns more clearly please?
dont worry about the columns... Column A is with the long equations and Column B is A. identity B. contradiction C. neither
Column A Column B 1. 8x + 24=2(4x+12) 2. 5x + 18-x=2(2x+8) 3. 7(3x-2)=20x-13 4. 3x + 2(x-10)=5(x-4) like this?
what you have underneath column B is suppose to be under Column A and under Column B is suppose to be this A. identity B. contradiction C. neither
Column A Column B 8x+24=2(4x+12) Identity 5x+18-x=2(2x+8) Contradiction 7(3x-2)=20x-13 Niether 3x+2(x-10)=5(x-4) like this?
yes
`(When you expand 1st row, 1st column)` 8x+24=2(4x+12) \(\longrightarrow\) 8x+24=8x+24
`(Expand 2nd row, 1st column)` 5x+18-x=2(2x+8) \(\longrightarrow\) 5x+18-x=4x+16 `(Subtract x from 5x: 5x-x=4x)` 5x+18-x=4x+16 \(\longrightarrow\) 4x+18=4x+16
So at this point you should be able to tell me whether A is an *identity* (true for all values of x), a *contradiction* (true for NO values of x - i.e. always false) OR *Niether* (not contradition or identity - i.e. has 1 solution)
`(Expand 3rd row, 1st column)` 7(3x-2)=20x-13 \(\longrightarrow\) 21x-14=20x-13 `(Subtract 20x from both sides)` 21x-14=20x-13 \(\longrightarrow\) x-14=13 `(Add 14 to both sides)` x-14=13 \(\longrightarrow\) x=27 (and this is Niether)
`(Expand 4th row, 1st column)` 3x+2(x-10)=5(x-4) \(\longrightarrow\) 3x+2x-20=5x-20 `(Add like terms on the left side)` 3x+2x-20=5x-20 \(\longrightarrow\) 5x-20=5x-20 Can you identify this one as either: *identity*, *contradiction*, or *Neither*
sorry I had to leave but im back @SolomonZelman
Ok, read over my posts, please. This should clarify every thing....
ok
so 1.A 2.B. 3.C 4.A?
yes, Identity Contradition Neither Identity *CORRECT!*
THANK YOU!!!!!!!
Anytime:)
I got 100%
Nice to hear that:)
have a good night!
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