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2 Pair of Linear Equations in Two Variables
scall, from Class IX, that the following are examples of linear equations in two
2x + 3y = 5
x - 2y-3=0
x - Oy = 2, i.e., x = 2
id
You also know that an equation which can be put in the form ax + by + c = 0,
here a, b and c are real numbers, and a and b are not both zero, is called a linear
juation in two variables x and y. (We often denote the condition a and b are not both
ero by a² + b2 80). You have also studied that a solution of such an equation is a
air of values, one for x and the other for y, which makes the two sides of the
quation equal.
For example, let us substitute x = 1 and y = 1 in the left hand side (LHS) of the
quation 2x + 3y = 5. Then
LHS = 2(1) + 3(1) = 2 + 3 = 5,
which is equal to the right hand side (RHS) of the equation.
Therefore, x = 1 and y = 1 is a solution of the equation 2x + 3y = 5.
Now let us substitute x = 1 and y = 7 in the equation 2x + 3y = 5. Then,
LHS = 2(1) + 3(7) = 2 + 21 = 23
which is not equal to the RHS.
Therefore, x = 1 and y = 7 is not a solution of the equation.
no that the point (1 1lies on the line
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Answer:
Yes two equation have two variable
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