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test/544267: x+3x=x+x+10 1 solutions
Answer 355447 by jim_thompson5910(28598) on 2011-12-10 18:52:39 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Subtract  from both sides.
 Combine like terms on the left side.
 Divide both sides by  to isolate  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
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test/544699: Write an equation for the line that passes through (2,1) and (3,5) 1 solutions
Answer 355440 by jim_thompson5910(28598) on 2011-12-10 18:49:45 (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points ) and
Note: ) is the first point ) . So this means that  and  .
Also, ) is the second point ) . So this means that  and  .
 Start with the slope formula.
 Plug in  ,  ,  , and
 Subtract  from  to get
 Subtract  from  to get
 Reduce
So the slope of the line that goes through the points ) and ) is
Now let's use the point slope formula:
 Start with the point slope formula
 Plug in  ,  , and
 Distribute
 Multiply
 Add 1 to both sides.
 Combine like terms.
So the equation that goes through the points ) and ) is
Notice how the graph of  goes through the points ) and ) . So this visually verifies our answer.
 Graph of  through the points ) and
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expressions/544033: 3/4x-2/3=5+1/2x 1 solutions
Answer 355434 by jim_thompson5910(28598) on 2011-12-10 18:45:37 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Multiply both sides by the LCD  to clear any fractions.
 Distribute and multiply.
 Add  to both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
----------------------------------------------------------------------
Answer:
So the solution is
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Linear-equations/545007: Please help me solve this: Write the equation of the graph passing through the points (-4,5) and (-2,3). 1 solutions
Answer 355427 by jim_thompson5910(28598) on 2011-12-10 18:40:20 (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points ) and
Note: ) is the first point ) . So this means that  and  .
Also, ) is the second point ) . So this means that  and  .
 Start with the slope formula.
 Plug in  ,  ,  , and
 Subtract  from  to get
 Subtract  from  to get
 Reduce
So the slope of the line that goes through the points ) and ) is
Now let's use the point slope formula:
 Start with the point slope formula
 Plug in  ,  , and
 Rewrite  as
 Distribute
 Multiply
 Add 5 to both sides.
 Combine like terms.
 Simplify
So the equation that goes through the points ) and ) is
Notice how the graph of  goes through the points ) and ) . So this visually verifies our answer.
 Graph of  through the points ) and
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
|
Inequalities/544990: I really need help with solving 3-step equations can you please tell me the answer to 2r+5(3r+1)-< 7+3(r-6)-12 Give me the steps I have to show my work. 1 solutions
Answer 355425 by jim_thompson5910(28598) on 2011-12-10 18:39:17 (Show Source):
You can put this solution on YOUR website!
 Start with the given inequality.
 Distribute.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Subtract  from both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
|
Equations/544683: what is 4x+6y=24? 1 solutions
Answer 355422 by jim_thompson5910(28598) on 2011-12-10 18:38:20 (Show Source):
You can put this solution on YOUR website!Solving for y:
 Start with the given equation.
 Subtract  from both sides.
 Rearrange the terms.
 Divide both sides by  to isolate y.
 Break up the fraction.
 Reduce.
So the equation  is now in slope intercept form  where the slope is  and the y-intercept is  note: the y-intercept is the point
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Equations/544998: y-3/3y+4=1/8
Solve for y 1 solutions
Answer 355420 by jim_thompson5910(28598) on 2011-12-10 18:37:23 (Show Source):
You can put this solution on YOUR website! Start with the given equation
 Cross multiply
 Distribute.
 Add  to both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
----------------------------------------------------------------------
Answer:
So the solution is
|
Linear-equations/544391: how do you graph: y=1/2x +3 1 solutions
Answer 355067 by jim_thompson5910(28598) on 2011-12-08 20:29:09 (Show Source):
You can put this solution on YOUR website!Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is
Since  this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2
So starting at ) , go up 1 unit
and to the right 2 units to get to the next point
Now draw a line through these points to graph
 So this is the graph of  through the points ) and
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
|
Linear-systems/544364: need help graphing y=5x-2 1 solutions
Answer 355063 by jim_thompson5910(28598) on 2011-12-08 20:06:41 (Show Source):
You can put this solution on YOUR website!Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is
Since  this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 5 and the run is 1. This means that to go from point to point, we can go up 5 and over 1
So starting at ) , go up 5 units
and to the right 1 unit to get to the next point
Now draw a line through these points to graph
 So this is the graph of  through the points ) and
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
|
Equations/543455: I sometimes forget to write my equation without the 1 in front of the variable and my teacher marks it wrong. After showing all my work and getting the right equation I get the problem wrong! Is it wrong to write 1x + 5y = 6 instead of x + 5y = 6? 1 solutions
Answer 354938 by jim_thompson5910(28598) on 2011-12-07 23:13:28 (Show Source):
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Equations/543648: What is an eqaution of the line that passes through the points (4,-3) and (-4,7)? 1 solutions
Answer 354936 by jim_thompson5910(28598) on 2011-12-07 23:10:10 (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points ) and
Note: ) is the first point ) . So this means that  and  .
Also, ) is the second point ) . So this means that  and  .
 Start with the slope formula.
 Plug in  ,  ,  , and
 Subtract  from  to get
 Subtract  from  to get
 Reduce
So the slope of the line that goes through the points ) and ) is
Now let's use the point slope formula:
 Start with the point slope formula
 Plug in  ,  , and
 Rewrite  as
 Distribute
 Multiply
 Subtract 3 from both sides.
 Combine like terms.
So the equation that goes through the points ) and ) is
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Jim
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