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Solution of a Linear Equation in Two Variables

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Find the value of α and β for which the following pair of linera equation have infinite number of solutions. 2α x+(α+β y=28 and 2x+3y=7

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Q. Find the values of

α

β

for which the following system of linear equations has infinite number of solutions:

2 x + 3 y = 7

2 α x + (α + β) y = 28

.

Q. Find the value of

α

β

for which the following system of linear equations has infinite number of solutions:

2 x + 3 y = 7; 2 α x + (α + β) y = 28

Q. Find the values of

α & β

for which the following pair of linear equations has infinite number of solutions.
2x+3y=7 and

2 α β + (α + β) y = 28

$I f x = 2 α + 1 a n d y = α - 1 is a solution of the equation 2 x - 3 y + 5 = 0, find the value of α .$

Q. Find the values of

^{'} a^{'}

^{'} b^{'}

for which the given pair of linear equations

2 x + 3 y = 7; 2 a x + (a + b) = 28

have infinite number of solutions.

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Solution of a Linear Equation in Two Variables

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