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 if (a,3) and (-2,b) is on line 3x-2y=6, find 2b+5a     (show work pls)

 Jan 3, 2017

Best Answer 

 #16
avatar+12530 
+5

2b+5a=2*6+5*0=12  sorry sad

 Jan 3, 2017
 #1
avatar+9673 
+5

It is me again!!

 

Let's isolate the y.

3x - 2y = 6

2y = 3x - 6

y = 3/2 x - 3

 

Solve for a and b:

Plug in the values into the slope-intercept equation as (a,3) and (-2,b) are ordered pairs:

3 = 3a/2 - 3

3a/2 = 6

3a = 12

a = 4

 

b = (3/2)(-2) - 3 = -6

 

Find the value of 2b + 5a:

2b + 5a = 2(-6) + 5(4) = 8

 Jan 3, 2017
 #4
avatar+69 
+5

Sorry but I don't understand, its like a graph right? like x axis and y axis  

Calebmok  Jan 3, 2017
 #6
avatar+9673 
+5

Yes.

After turning 3x - 2y = 6 into y = 3/2 x - 3, it is easier to graph.

Because every point on a graph of a continuous function(just say function for your level...... continuous function is calculus thing) have a x-coordinate and a corresponding y-coordinate and the relationship between 2 of them is the function. Therefore we can calculate y coordinate and x coordinate just using y = 3/2 x - 3.

MaxWong  Jan 3, 2017
 #2
avatar+9673 
+5

Calebmok:

Btw where you from?

Me from Hong Kong :)

 Jan 3, 2017
 #3
avatar+69 
0

Malaysia ;)

Calebmok  Jan 3, 2017
 #5
avatar+9673 
0

Cool :)

MaxWong  Jan 3, 2017
 #7
avatar+69 
0

Do you read Chinese? because my homework is in Chinese and I have I hard time translating because I don't know the term for it....And I can take a picture ...Don't have to type so much...:)

Calebmok  Jan 3, 2017
 #8
avatar+9673 
0

Yeah.

Take a photo and post it on the forum :)

I can translate and help you do it :):)

MaxWong  Jan 3, 2017
 #9
avatar+69 
0

Thanks very much!!! You're a life saver!!!

Calebmok  Jan 3, 2017
 #10
avatar+9673 
0

You'd better be quick..... I have to go to sleep soon......

MaxWong  Jan 3, 2017
 #11
avatar+69 
0

OH NO!! i have a lot left!!!what time is it???

Calebmok  Jan 3, 2017
 #12
avatar+9673 
0

It is 21:49 GMT + 8 and I have to sleep at 22:15 GMT + 8. So half hour left.

MaxWong  Jan 3, 2017
 #13
avatar+9673 
0

Oops. Apologies. My mom is already telling me to go to sleep.

 

So the homework is very urgent?

MaxWong  Jan 3, 2017
 #15
avatar+69 
0

Yup, but if you can't then nvm....Having trouble uploading pictures....But thers a lot left that i dont know

Calebmok  Jan 3, 2017
 #14
avatar+12530 
+5

                 3x + 2y  = 6

A(a|3)        2a + 2*3 = 6

                    2a + 6 = 6           | -6

                          2a = 0

                            a = 0           A(0|3)

 

                   3x + 2y = 6

B(-2|b)     3*(-2) + 2b = 6

                   -6 + 2b = 6    | +6

                          2b = 12  | :2

                            b = 6          B(-2|6)

 

2b + 5a = 2*(-2) + 5*0 =-4

 

                            y = -3/2x + 6

 

                      

 Jan 3, 2017
 #16
avatar+12530 
+5
Best Answer

2b+5a=2*6+5*0=12  sorry sad

Omi67  Jan 3, 2017
 #17
avatar+69 
+5

I understand it now! Thanks

Calebmok  Jan 3, 2017

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