Answer:
$200 and $450
Explanation:
We can start by assigning variables to our unknowns.
Our unknowns are the price for a DVD player and the price for a television.
x= price of a television
y= price of a DVD player
Next, let's translate the given information into a system of equations.
two televisions and three DVD players for $1750
2x+3y=1750
four televisions and one DVD player for $1250
4x+y=1250
Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.
First, from the second equation, we subtract 4x from both sides.
4x+y-4x=1250-4x
y=1250-4x
Now we plug 1250-4x for y in the first equation.
2x+3y=1750
2x+3(1250-4x)=1750
Distribute.
2x+3*1250-3*4x=1750
Simplify.
2x+3750-12x=1750
Combine like terms.
-10x+3750=1750
Subtract 3750 from both sides
-10x+3750-3750=1750-3750
-10x=-2000
Divide both sides by -10
x=200
A television costs $200.
Now using that, we can plug that into one of the original equations. I'll use the second one.
4x+y=1250
4(200)+y=1250
800+y=1250
Subtract 800 from both sides.
y=450
A DVD player costs $450
You can plug those values back into the other equation (the first one) to double-check if you'd like as well.