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

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

-3x + 2y = 10

☪ Step - by - step explanation :

plug the value of x ( i.e 2 )

➳

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

➳

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

➳

Add the numbers : 10 and 6

➳

Divide both sides by 2

➳

➳

——————————————————

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

✑ Verification :

→

→

→

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

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁