Find the values of x and y if x + 2y = 4 and 2x - 3y = 5.

Expert Answers

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

We have to find the solution of :

x + 2y = 4 ...(1)

2x - 3y = 5 ...(2)

2*(1) - (2)

=> 2x + 4y - 2x + 3y = 8 - 5

=> 7y = 3

=> y = 3/7

substitute in (1)

x = 4 - 3*2/7

=> 4 - 6/7

=> 22/7

The solution of the system of equations is x = 22/7 and y = 3/7

Approved by eNotes Editorial Team
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