I need someone to help me with this problems: 6/v=3/11, 16j=320, 13x=15-2x.

Hello!


As I understand, there are three unconnected equations, each with its own variable. Let's solve them one by one.



1) `6/v = 3/11.`


This is a proportion and we can use a rule for solving it, but it is probably better to solve it step by step. First, multiply both sides by `v` (it cannot be zero, so such a multiplication gives an equivalent equation):


`6 = 3/11*v.`


Then multiply by `11:`  `6*11 =...

Hello!


As I understand, there are three unconnected equations, each with its own variable. Let's solve them one by one.



1) `6/v = 3/11.`


This is a proportion and we can use a rule for solving it, but it is probably better to solve it step by step. First, multiply both sides by `v` (it cannot be zero, so such a multiplication gives an equivalent equation):


`6 = 3/11*v.`


Then multiply by `11:`  `6*11 = 3*v.`


And finally divide by `3` and compute: `v = (6*11)/3 = 2*11 = 22.`



2) `16 j=320.`


Only one step is here, divide both sides by `16` and note that `320=32*10=2*16*10:` 


`j=320/16=(2*16*10)/16=2*10=20.`



3) `13x=15-2x.`


Two steps are here: first, add `2x` to both sides and obtain `13x+2x=15,` or `15 x=15.` Second, divide both sides by `15` and obviously `x=1.`



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