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What is the solution to the equation 1.2m − 0.8 = −2.0m?
m = 0.25
m = 0.4
m = 1
m = 4

- anonymous

- schrodinger

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- Mehek14

first add 1.2 + 2

- anonymous

3.2

- Mehek14

and add 0 + 0.8

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## More answers

- anonymous

0.8

- Mehek14

so you have
\(3.2m = 0.8\)
now divide
\(\dfrac{0.8}{3.2}\)

- anonymous

0.25

- Mehek14

\(m=0.25\)

- anonymous

thanks can you help with a couple more

- Mehek14

sure

- anonymous

thanks your great!

- Mehek14

^_^

- anonymous

Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

- anonymous

DO YOU KNOW HOW TO

- anonymous

oops cap lock sorry

- Mehek14

\(\dfrac{3}{4z}-\dfrac{1}{4z+1}=\dfrac{2}{4z+1}\)

- Mehek14

\(\dfrac{3}{4z}=\dfrac{3}{4z+1}\)

- anonymous

i dont know how to do that :(

- Mehek14

\(\dfrac{4}{3}*\dfrac{3}{4z+1}\)

- anonymous

what is z

- anonymous

im sorry i am a very slow learner and horrible at math

- anonymous

can you explain more?

- Mehek14

hold on

- anonymous

k

- anonymous

- anonymous

lol i just wanna see it cuz the other one went up

- Mehek14

I'm getting no solution

- anonymous

@Mehek14 thanks for trying

- Mehek14

np

- anonymous

@Nnesha can you help

- anonymous

it this question below
Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

- Nnesha

\[\huge\rm \frac{ 3 }{ 4z } -\frac{ 1 }{4z+1 } = \frac{ 2 }{ 4z+1 }\] like this ?

- anonymous

yeah but i dont get how to do that

- Nnesha

first of all solve left side find common denominator

- anonymous

4z + 4z

- Nnesha

when you multiply same bases you should add their exponents
so 4z times 4z= ?

- anonymous

16z

- Nnesha

common denominator is 4z(4z+1) so distribute parentheses by 4z
when u multiply same bases you should add exponents
\[\huge\rm x^m \times x^n = x^{m+n}\]

- anonymous

wow i mind is BLOWN!!!

- anonymous

i dont get it :(

- anonymous

im sry

- Nnesha

4z times 4z =(4 times 4)(z times z)

- Nnesha

z times z equal what ?

- anonymous

16 and 2z

- anonymous

z=8?

- Nnesha

nope add their exponents
z is same as z to the one power \[z^1 \times z^1 = z^{1+1}\]

- anonymous

ok i dont get it im sorry

- anonymous

if you dont want to help me thats okay cuz this will take a long time

- Nnesha

here are examples \[\huge\rm x^2 \times x^2 = x^{2+2}\] \[\huge\rm 2^3 \times 2^3 = 2^{3+3}\] this is an exponent rule
when we multiply same bases we add their exponents

- anonymous

ok

- Nnesha

|dw:1437580573519:dw|

- Nnesha

so z times z=what ?

- anonymous

z to the power of 2 ?!?

- Nnesha

yes right

- Nnesha

so 16z^2 + 4z

- anonymous

YAYY FINALLY I GOT SOMETHING RIGHT!

- anonymous

300z

- Nnesha

\[\huge\rm \frac{ 3 }{ 4z } -\frac{ 1 }{4z+1 } \] \[\frac{ ? }{ 16z^2 +4z }\]
16z^2 +4z is a denominator
now at the numerator multiply first numerator of first fraction by the denominator of 2nd fraction
and *multiply numerator of 2nd fraction by the denominator of first fraction

- Nnesha

what about 300z?

- anonymous

16z*16z=256z+4z=300Z

- Nnesha

what how did you get two 16z's ?

- anonymous

cuz 16z to the power of two

- Nnesha

now only z is to the 2 power not 16

- Nnesha

16z^2 +4z is right leave it as it is

- anonymous

ok

- Nnesha

|dw:1437581002932:dw|
now multiply
numerator of first fraction by the denominator of 2nd fraction
and multiply numerator of 2nd fraction by the denominator of 1st fraction
it's like cross multiplication but don't forget to carry down the negative sign

- anonymous

1 Cancel 1 on both sides
34z−14z=24z
2 Simplify 34z to 3z4
3z4−14z=24z
3 Simplify 14z to z4
3z4−z4=24z
4 Simplify 24 to 12
3z4−z4=12z
5 Simplify 12z to z2
3z4−z4=z2
6 Simplify 3z4−z4 to z2
z2=z2
7 Since both sides equal, there are infinitely many solutions
Infinitely Many Solutions

- anonymous

is that right?

- Nnesha

i don't understand first sentence which 2 1's cancels out ?

- anonymous

the one from 4z +1

- Nnesha

nope you are not allowed to cancel out 1 of 4z+1

- anonymous

ok

- anonymous

instead can you help with this one

- anonymous

The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6

- anonymous

i think step 2

- anonymous

what do you think

- Nnesha

if you don't know how to solve previous one you will not understand da next one

- Nnesha

why do you think its step 2 ?

- anonymous

cuz there sould not be a five cuz of distributive propoerty

- Nnesha

yep right

- anonymous

thanks how about this

- anonymous

solve it tell me what you think ill tell you what i think:
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(6, 20), because both lines pass through this point
(6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes

- anonymous

i think it is b and you???

- anonymous

- anonymous

Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(6, 20), because both lines pass through this point
(6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes
solve it tell me which one you think

- Nnesha

why do you think its b?

- anonymous

- anonymous

- anonymous

- anonymous

- anonymous

- anonymous

help!

- Nnesha

better to post your work instead tagging other people

- Nnesha

i asked you a question

- anonymous

Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(6, 20), because both lines pass through this point
(6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes
tell me what you think

- Nnesha

Why do you think its b ?
what is solution ? how do you find solution on the graph ?

- anonymous

i dont know thats why i want you to see if it correct i did it in my head

- Nnesha

so stop guessing

- Nnesha

solution is a point where both lines intersect

- anonymous

if your not going to help me you can leave i want to know how to solve it

- Nnesha

so what's the point of asking question

- Nnesha

i never said *i'm not gonna help you*

- anonymous

to get someone to help me not yell at me or be rude

- Nnesha

i'm not yelling at you

- Nnesha

and you know what is rude
tagging other people when someone already trying to help you

- anonymous

@automaticloveletter can you help

- anonymous

Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(6, 20), because both lines pass through this point
(6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes

- automaticloveletter

Both equations equal y so this means we can combine them together.
Line C: y = x + 14
Line D: y = 3x + 2
Will become:
x+14 = 3x+2
Then you'd subtract both sides by 3x:
(x+14−3x=3x+2−3x−2x+14=2)
Next subtract by 14 on both sides:
(−2x+14−14=2−14−2x=−12)
After that you'd divide both sides by -2:
−2x/−2=−12/−2
x = 6
So now we have x all you have to do now is calculate for y and to do that put the value of x (6) in the equations:
y = 6 + 14 (20)
y = 3*6 + 2 (20)
y = 20
The solution is (6,20)
Your answer would be A.

- anonymous

Wow your give please give me time to read this

- automaticloveletter

It's pretty simple but I hope I helped.

- anonymous

very much

- anonymous

will you keep helping

- automaticloveletter

Depends. I just finished this material yesterday so yeah.

- anonymous

oh you did you in 7 grade

- automaticloveletter

8th

- automaticloveletter

Well 9th but whatever, just tag me in your questions and I'll try to help.

- anonymous

Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.

- anonymous

@automaticloveletter

- anonymous

lolz

- anonymous

@automaticloveletter

- anonymous

you stil;l there?

- automaticloveletter

I think it's A

- anonymous

ok

- anonymous

but why

- anonymous

A pair of equations is shown below:
y = 7x − 8
y = 5x − 2
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer

- automaticloveletter

Peter is 2 years older than Winnie. p = w + 2
Peter's age is 16 years less than seven times Winnie's age. 7w − 16
C and D don't make sense to me so your best choices would be A or B but I'd go with A.

- anonymous

thats the next one

- automaticloveletter

Alright so basically what it's asking you is: Solve. Show Your Work. Answer.
Since both equations equal y we can combine them (like I did before, remember?)

- anonymous

yeah i do cause you explained it clear #thebest

- anonymous

wait can you show me how to do either subtitution or elimination

- automaticloveletter

Alright, so now combine them for me.

- anonymous

y=12x-10

- automaticloveletter

No don't add them just put them together

- anonymous

oh

- anonymous

7x-8=5x-2

- anonymous

correct?

- automaticloveletter

It's easy all you do is look at both of them
y = 7x − 8
y = 5x − 2
Take both y's out
= 7x − 8
= 5x − 2
And take the first = sign out
7x − 8 = 5x − 2

- automaticloveletter

Good job.

- anonymous

ok was that elimination or substitutuion or None.

- automaticloveletter

Now we have to subtract 5x from both sides.
7x−8−5x
5x−2−5x
=
2x−8=−2

- anonymous

2x-8=-2

- anonymous

oh wait you said that lol

- automaticloveletter

I think it's substitution

- anonymous

k

- anonymous

so can you wrap it all up so i can read it together

- automaticloveletter

Next step is to add 8 to both sides
2x−8+8
−2+8
2x=6
After that just divide both by 2
2x/2 6/2
x = 3
Now we got 3 for x so all we have to do is put 3 into the equations to solve for y.

- automaticloveletter

Can you do that? Or do you want me to show you that step as well?

- anonymous

ok

- anonymous

ok you know what my sis will help me wit this it too hard and we like not in person so her do this one:\\
Two equations are given below:
a − 3b = 4
a = b − 2
What is the solution to the set of equations in the form (a, b)?
(−2, −2)
(−3, −1)
(−9, −7)
(−5, −3)

- automaticloveletter

I'll just do it for you
y = 7*3 − 8 (13)
y = 5*3 − 2 (13)
y = 13
Solution is (3,13) so this is where they would intersect on a graph.

- anonymous

ok thanks

- automaticloveletter

You're welcome. I have to do my own homework now so good luck.

- anonymous

wait how did you get 3

- anonymous

@automaticloveletter how did you get three

- anonymous

nm

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