Shannon L. answered • 09/16/12

Achieve your Dream

Kristy C.

asked • 09/16/12can you please show the work for this problem 2x-3y=10

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Shannon L. answered • 09/16/12

Achieve your Dream

Kristy,
It depends on whether you are solving for x or for y. Whatever variable you are solving for you want to isolate it on one side. Unless you know the values for x or y, you will have an answer with one of the variables in it. For example, to solve for x:
2x-3y=10; first move the 3y to the other side so, 2x= 3y + 10- you have to add 3y to cancel it from a negative (-3y). Then, you have to get rid of the 2 multiplied (next to the x). Since it's multiplication, you'll have to divide.
Remember a key rule: whatever you do to one side, you have to do to the other. So, divide the 2x by 2 and then divide 3y + 10 by 2. The 2 will be cancelled by the x and your answer will have to remain x = 3y + 10 divided by 2/ The answers stays this way because you do not know the value of y to do any more.
Hope this helps!
Sincerely,
Shannon

Yusef H. answered • 10/04/12

Chem and math tutor available near temple university

1)2x-3y = 10

-2x -2x (subtract 2x from both sides to isolate variables)

2)(-1/3)-3y = [10 - 2x](-1/3) Multiply both sides by -1/3 to isolate the y-variable

3) y = 2x/3 - 10/3

This is the slope-intercept form of an equation of a line with slope 2/3 and intercepts the y-axis at (0,-10/3).

Todd B. answered • 09/18/12

A Clear Approach to Mathematics Education

Kristy,

Yes 2x-3y=10 is an equation and yes you can solve for x or y as stated by Shannon and Jane; however, I encourage you to represent the equation as a line on a graph. Do this by plotting the solution for y as stated...

y=2/3x - 10/3

Once you have done that, you should be able to see that both expressions,

y=2/3x - 10/3 or x=3/2y + 5

represent the same line, or in other words these two expressions are equivalent.

Jane B. answered • 09/16/12

Master's degree in Education. Focus on success for all students.

2x - 3y = 10
+ 3y + 3y
(add 3y to both sides)
2x = 10 + 3y
2x/2 = 10/2 + 3y/2
(divide each coefficient by 2 to isolate x)
X = 5 + 3/2 y (this is the SIMPLIFIED answer for X)
---or if you are solving for 'y'---
2x -3y = 10
- 2x - 2x (minus 2x from both sides of the equation)
-3y = 10 - 2x (rewrite the equation for clarity)
3y = -10 + 2x (multiply both sides by -1 to make your y positive)
3y = 2x - 10 (rewrite for clarity)
y = 2/3x - 10/3 (divide both sides by 3 to isolate y.)
This is the SIMPLIFIED answer for Y.

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