the cost of2 televisions and 3 dvd players is $1,421. The cost of 1 dvd player is half the cost of 1 television whats the cost of the television

Question

Its asking what is the cost of the tv I dont get it help me

Answer 1

Let's start with listing what we know:

2v + 3d = 1421

d = v / 2

We can switch this around so that we have:

2d = v

 

Now that we have a value for v, we can put that into our equation:

2(2d) + 3d = 1421

4d + 3d = 1421

7d = 1421

Isolate d by dividing both sides by 7:

d = 203

 

Now that we have d, we can solve for v:

v = 2 * 203

v = 406

 

Now to check our answer:

2 * 406 + 3 * 203 = 1421

812 + 609 = 1421

1421 = 1421

 

So a television costs $406