Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.


Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.

-
-
Use the sketch tool if it helps you with your thinking.
Submit

Sagot :

Nimbus2005
Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.

2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3

x=3

Answer:

See below ↓

Step-by-step explanation:

Let's find the x and y values.

Step 1 : Equate the y expressions.

  • The two equations have given different values for y
  • Therefore by equating them, we can solve for x
  • 2x - 5 = -2/3x + 3

Step 2 : Convert fractions in the equation to whole numbers.

  • The value -2/3 is a fraction
  • We can make it a whole number if multiply throughout by the value of its denominator ⇒ 3
  • 3(2x - 5) = 3(-2/3x + 3)
  • 6x - 15 = -2x + 9

Step 3 : Bring x terms to one side and constant terms to the other.

  • 6x + 2x = 9 + 15
  • 8x = 24
  • x = 3

Step 4 : Solve for y by plugging the value of x into one of the given equations.

  • y = 2(3) - 5
  • y = 6 - 5
  • y = 1
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.