Respuesta :
x: cost of rims
y: cost of tires= 2x+200
2300=x+2x+200=3x+200
2100=3x
x=700
y: cost of tires= 2x+200
2300=x+2x+200=3x+200
2100=3x
x=700
Answer:
The cost of the rims was $700
Step-by-step explanation:
1. Let´s name the variables as follows:
x=cost of the rims
y=cost of the tires
2. As the total cost of the rims and tires is $2300, the first equation is:
[tex]x+y=2300[/tex] (Eq.1)
3. As the cost of the tires is $200 mores than twice as much as the rims, the second equation is:
[tex]y=200+2x[/tex] (Eq.2)
4. Replace Eq.2 in Eq.1 and solve for x:
[tex]x+200+2x=2300\\\\3x+200=2300\\\\3x=2300-200\\\\3x=2100\\\\x=\frac{2100}{3}\\\\x=700[/tex]
Therefore, the cost of the rims was $700