Mariana597795idn
Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Our platform offers reliable and detailed answers, ensuring you have the information you need.

2x-y=7
x+y=5

Use elimination




Sagot :

Answer:  (x,y) = (4,1)

In other words,  x = 4 and y = 1

==============================================

Explanation:

Add the equations straight down.

  • The x terms add to 3x because 2x+x = 3x
  • The y terms go away when you add them since -y+y = 0y = 0
  • The terms on the right hand sides add to 7+5 = 12

After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.

Use this x value to find y.

2x-y = 7

2(4)-y = 7

8-y = 7

-y = 7-8

-y = -1

y = 1

or

x+y = 5

4+y = 5

y = 5-4

y = 1

Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.

Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.

Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.

View image Jimthompson5910
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.