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A pair of linear equation has infinite many solutions if

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Important Questions on Pair of Linear Equation in Two Variables

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

The solution set of the given pair of linear equation $5 x - 5 y = - 5$ and $\frac{3 x}{2} - \frac{3 y}{2} + \frac{3}{2} = 0$ is _____.

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

_____ is a solution of the linear equation of two variable $2 x - y = 5$ .

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

If in equations

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0, \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

, then which of the following is true?

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

If $p + q = \sqrt{13}$ and $p - q = \sqrt{5}$ then the value of $p q$ is

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

The value of

k

for which the system of equations

x + y - 4 = 0

and

2 x + k y = 3

, has no solution is

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

If the lines representing the pair of linear equations

6 x - 3 y + 10 = 0

and

k x - y + 9 = 0

are parallel, then find the value of

k

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

If $3 x + 2 y = 7$ and $2 x + 3 y = 3$ , then $x - y =$ _____.

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

When

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

then the system of equation

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

Consider the following pairs of linear equation:

$(i) 3 x + 2 y = 5; 2 x + 3 y = 5 (i i) 2 x - 3 y = 7; 2 x - 3 y = 8$

Choose the correct alternative.

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

If the pair of equations

a x + 2 y = 7

and

2 x + 3 y = 8

has unique solution then

a \neq

_____.

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

In equation

3 x + 2 y = 7

, if

y = 2

then, write the value of

x

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

The graph of the equations

2 x + 3 y = 11

and

x - 2 y + 12 = 0

intersects at

P (x_{1}, y_{1})

and the graph of the equation

x - 2 y + 12 = 0

intersects the

x -

axis at

Q (x_{2}, y_{2})

. What is the value of

(x_{1} - x_{2} + y_{1} + y_{2})

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

When

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

then the system of equation

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

The lines represented by

2 x + 3 y - 9 = 0

and

4 x + 6 y - 18 = 0

are

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

Lines

x - 2 y = 0

and

3 x + 4 y - 20 = 0

are : -

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

Select and write the most appropriate alternative from those given below:

If $7 x + 3 y = 11$ and $3 x + 7 y = - 1$ then $x - y =$

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

When

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

then the system of equation

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

If g.c.d.

(24, 20) = 3 x + 1

, then

x =

_____

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Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

The graph of the equation

3 x + y - 5 = 0 and 2 x - y - 5 = 0

intersect at the point

P (α, β)

. What is the value of

(3 α + β)

EASY

Mathematics>Algebra>Pair of Linear Equation in Two Variables>Nature of Solutions of a Pair of Linear Equations

Find the value of

x

after solving the following equation.

0.12 \times (5 x - 4) = 0.5 x + 0.8

A pair of linear equation has infinite many solutions if

Important Questions on Pair of Linear Equation in Two Variables

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