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whitakers87
14.11.2020 •
Mathematics
When x = 2,what is the value of y for the equation – 3x + 2y = 10?
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Ответ:
☪ 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 )
➳![\sf{ - 3 \times 2 + 2y = 10}](/tpl/images/0898/3823/cd009.png)
Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.
➳![\sf{ - 6 + 2y = 10}](/tpl/images/0898/3823/55540.png)
Move 6 to right hand side and change it's sign
➳![\sf{2y = 10 + 6}](/tpl/images/0898/3823/b3ffa.png)
Add the numbers : 10 and 6
➳![\sf{2y = 16}](/tpl/images/0898/3823/cd8e0.png)
Divide both sides by 2
➳![\sf{ \frac{2y}{2} = \frac{16}{2}}](/tpl/images/0898/3823/dba7d.png)
➳![\boxed{ \sf{y = 8}}](/tpl/images/0898/3823/cbdba.png)
——————————————————
✏ Now, let's check whether the value of y is 8 or not !
✑ Verification :
→![\sf{ - 3 \times 2 + 2 \times 8 = 10}](/tpl/images/0898/3823/aae4a.png)
→![\sf{ - 6 + 16 = 10}](/tpl/images/0898/3823/30acb.png)
→![\sf{10 = 10}](/tpl/images/0898/3823/2b480.png)
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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Ответ: