Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Using a system of equations:
a)
The system is:
[tex]x + y = 58[/tex]
[tex]y = 2x + 4[/tex]
b)
Robin is 18 years old and Batman is 40 years old.
-------------------------
Item a:
- The equations are built considering Robin's age as x, and thus, Batman's y.
Batman's age is 4 more than twice of robins age.
Thus, [tex]y = 2x + 4[/tex]
Sum of the ages is 58, thus:
[tex]x + y = 58[/tex]
Then, the system is:
[tex]x + y = 58[/tex]
[tex]y = 2x + 4[/tex]
Item b:
Applying the second equation into the first:
[tex]x + y = 58[/tex]
[tex]x + 2x + 4 = 58[/tex]
[tex]3x = 54[/tex]
[tex]x = \frac{54}{3}[/tex]
[tex]x = 18[/tex]
Then, for y:
[tex]y = 2x + 4 = 2(18) + 4 = 36 + 4 = 40[/tex]
Robin is 18 years old and Batman is 40 years old.
A similar problem is given at https://brainly.com/question/24939834
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
