Choose the correct option for the standard form of the following linear equations. *
2x + 9y = 3
5x + 7y = 9
2x - 9y = 3
5x - 7y = 9
5x = -7y + 9
2x - 3 = 9y
Answers
Question:
Choose the correct option for the standard form of the following linear equations : 2x + 9y = 3, 5x + 7y = 9
1) 2x - 9y = 3
2) 5x - 7y = 9
3) 5x = -7y + 9
4) 2x - 3 = 9y
Solution :
Given:
The linear equations 2x + 9y = 3, 5x + 7y = 9
To find:
The correct option for the standard form of the given linear equations
Calculation:
⇒ Whenever a positive term is shifted to other side of the equation, the sign of the term changes to negative and vice versa.
Option (1) : 2x - 9y = 3
The original equation is 2x + 9y = 3. The term 9y has not shifted to other side of the equation. So the sign cannot be changed
Option (2) : 5x - 7y = 9
The original equation is 5x + 7y = 9. The term 7y has not shifted to other side of the equation. So the sign cannot be changed.
Option (3) : 5x = -7y + 9
The original equation is 5x + 7y = 9
⇒ 5x + 7y = 9
⇒ 5x = -7y + 9
∴ Option (3) is the correct option
Option (4) : 2x - 3 = 9y
The original equation is 2x + 9y = 3.
⇒ 2x + 9y = 3.
⇒ 2x - 3 = -9y
The sign of 9y should be negative
Answer:
choose the correct options for the standard from of the following linear equations 5x=-7y+9 1)5x+7y=9 ,2)5x-7y=9 . 2x-3=9y 1)2x+9y=3,2)2x-9y=3