Given the function f(x) = x+1, determine x and y if: f(x) + f(y)=7 f(x) + 2f(y)=12

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have the function f(x) = x + 1

Now f(x) + f(y) = 7

=> x + 1 + y + 1 = 7

=> x + y = 5 ...(1)

f(x) + 2*f(y) = 12

=> x + 1 + 2y + 2 = 12

=> x + 2y = 9 ...(2)

(2) - (1)

=> y = 4

substitute y = 4 in (1)

=> x + 4 = 5

=> x = 1

Therefore x = 1 and y = 4.

Approved by eNotes Editorial Team

Posted on

Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial