Question

When x = 2,what is the value of y for the equation – 3x + 2y = 10?

Answer 1

`\huge{ \boxed{ \bold{ \tt{y = 8}}}}`

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

• -3x + 2y = 10

☪ Step - by - step explanation :

• 
  `\sf{ - 3x + 2y = 10}`

plug the value of x ( i.e 2 )

➳
`\sf{ - 3 * 2 + 2y = 10}`

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

➳
`\sf{ - 6 + 2y = 10}`

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

➳
`\sf{2y = 10 + 6}`

Add the numbers : 10 and 6

➳
`\sf{2y = 16}`

Divide both sides by 2

➳
`\sf{ (2y)/(2) = (16)/(2)}`

➳
`\boxed{ \sf{y = 8}}`

——————————————————

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

✑ Verification :

`\sf{ - 3x + 2y = 10}`

→
`\sf{ - 3 * 2 + 2 * 8 = 10}`

→
`\sf{ - 6 + 16 = 10}`

→
`\sf{10 = 10}`

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

——————————————————

☞ 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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Answer 2

y=x+5

Explanation: