Ask Question
29 June, 06:59

Solve the system 3x+y=2 5x-y=8

+2
Answers (1)
  1. 29 June, 07:05
    0
    x = 5/4; y = - 7/4

    Step-by-step explanation:

    I will solve your system by substitution.

    (You can also solve this system by elimination.)

    3x+y=2; 5x-y=8

    Step: Solve3x+y=2for y:

    3x+y+-3x=2+-3x (Add - 3x to both sides)

    y=-3x+2

    Step: Substitute-3x+2foryin5x-y=8:

    5x-y=8

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

    8x-2=8 (Simplify both sides of the equation)

    8x-2+2=8+2 (Add 2 to both sides)

    8x=10

    8x

    8

    =

    10

    8

    (Divide both sides by 8)

    x=

    5

    4

    Step: Substitute

    5

    4

    forxiny=-3x+2:

    y=-3x+2

    y=-3 (

    5

    4

    ) + 2

    y=

    -7

    4

    (Simplify both sides of the equation)

    Answer:

    x=

    5

    4

    and y=

    -7

    4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Solve the system 3x+y=2 5x-y=8 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers