Write each of the following as an equation in two variables.
(i) 2x= -3
(ii) y = 3
(iii) 5x =
(iv) y = x
Answers
Concept :
An equation which can be put in the form ax + by + c = 0, where a, b & c are real numbers x, y are variables, is called linear equation in two variables.
In equation ax + by + c = 0, the values of x and y are always real.
ax + by + c = 0 is also called standard form a linear equation in two variables.
(i) Given : 2x = -3
The above equation in two variables can be written as :
2x + 0y + 3 = 0
(ii) Given : y = 3
The above equation in two variables can be written as :
0 x + y – 3 = 0
(iii) Given : ,5x = 7/2
The above equation in two variables can be written as :
5x + 0y – 7/2 = 0
or 10x + 0y – 7 = 0
(iv) Given : y = 3/2 x
The above equation in two variables can be written as :
2y = 3x
3x – 2y = 0
3x – 2y + 0 = 0
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