Answered

Discover new information and insights with the help of IDNLearn.com. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

Two times a number minus four times another number is ten, and four times the first number
minus four times the second number results in four. What are the two numbers? Let the first
number be x and the second number bey.

Sagot :

Theleangreenbeanidn

Answer:

x = -3

y = -4

Step-by-step explanation:

We're given:

  • Two times a number minus four times another number is ten
  • Four times the first number minus four times the second number results in four

Let the first number be x and the second be y.

Translate the given information into equations:

  • Two times [a number] minus four times [another number] is ten
    [tex]2x-4y=10[/tex]
  • Four times [the first number] minus four times [the second number] results in four
    [tex]4x-4y=4[/tex]

Now, solve using elimination:

- [tex]2x-4y=10\\\hspace{5} 4x-4y=4\\\rule{60}{0.3}\\-2x=6[/tex]

Solve for x:

[tex]-2x=6\\x=-3[/tex]

Therefore, the first number is -3.


Now, solve for y using x:

[tex]2x-4y=10\\2(-3)-4y=10\\-6-4y=10\\-4y=16\\y=-4[/tex]

Therefore, the second number is -4.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.