Respuesta :

terryjames42

Answer:

y=x+5

Step-by-step explanation:

TheAnimeGirl

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = 8}}}}[/tex]

☪ What is the value of y for the equation given below when x = 2 ?

  • -3x + 2y = 10

☪ Step - by - step explanation :

  • [tex] \sf{ - 3x + 2y = 10}[/tex]

plug the value of x ( i.e 2 )

➳ [tex] \sf{ - 3 \times 2 + 2y = 10}[/tex]

Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.

➳ [tex] \sf{ - 6 + 2y = 10}[/tex]

Move 6 to right hand side and change it's sign

➳ [tex] \sf{2y = 10 + 6}[/tex]

Add the numbers : 10 and 6

➳ [tex] \sf{2y = 16}[/tex]

Divide both sides by 2

➳ [tex] \sf{ \frac{2y}{2} = \frac{16}{2}} [/tex]

➳ [tex] \boxed{ \sf{y = 8}}[/tex]

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✏ Now, let's check whether the value of y is 8 or not !

✑ Verification :

[tex] \sf{ - 3x + 2y = 10}[/tex]

→ [tex] \sf{ - 3 \times 2 + 2 \times 8 = 10}[/tex]

→ [tex] \sf{ - 6 + 16 = 10}[/tex]

→ [tex] \sf{10 = 10}[/tex]

L.H.S = R.H.S ( Hence , the value of y is 8 . )

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☞ Additional Info :

✒ Sign rules of addition and subtraction of integers:

  • The positive integers are always added and posses the positive ( + ) sign.
  • The negative integers are always added but posses the negative ( - ) sign.
  • The negative and positive integers are always subtracted but posses the sign of the bigger integer.

✒ Sign rules of multiplication and division of integers :

  • Multiplying or dividing positive integers gives a positive integer.
  • Multiplying or dividing positive integer by any negative integer gives a negative integer.
  • Multiplying or dividing a negative integer by a positive integer gives a negative integer.
  • Multiplying or dividing a negative integer by a negative integer gives a positive integer.

✒ Rules for solving an equation :

  • If any equation contains fractions , multiply each term by the LCM of denominators.
  • Remove the brackets , if any.
  • Collect the term with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ツ

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