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Pair of Linear Equations in Two Variables

Short Answer Type

91. Solve for x and y:

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91 Views

92. Solve the following system of linear equation: 2 (ax - by) + (a + 4b) = 0,2 (bx + ay) + (b - 4a).

89 Views

93. Solve for x and y:

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93 Views

94. he sum of numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes

1 half comma

Find the fraction.

103 Views

95.

Solve for x and y :
(a - b) x + (a + b) y = a² - 2 ab - b²

106 Views

96.
For what values of a and b does the following pair of linear equations have an enfinitc no. of solution :
2x + 3y = 7
a (x + y) -b (x - y) = 3a + b - 2

Solution not provided.

Ans. a = 5, b =1

95 Views

97.

Solve the following systems of equations for x and y.

fraction numerator 5 over denominator straight x minus 1 end fraction plus fraction numerator 1 over denominator straight y minus 2 end fraction equals 2 semicolon space fraction numerator 1 over denominator straight x minus 1 end fraction minus fraction numerator 3 over denominator straight y minus 2 end fraction equals 1

110 Views

98. Solve the following pairs of equations for x and y.

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115 Views

99.

Represent the following pair of equations graphically and write the co-ordinates of pairs where the lines intersect y-axis.
x + 3y = 6; 2x - 3y = 12

200 Views

100.

Find the number of solutions of the following pair of linear equations :
x + 2y - 8 = 0; 2x + 4y = 16

137 Views

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Short Answer Type

96. For what values of a and b does the following pair of linear equations have an enfinitc no. of solution :2x + 3y = 7a (x + y) -b (x - y) = 3a + b - 2

96.
For what values of a and b does the following pair of linear equations have an enfinitc no. of solution :
2x + 3y = 7
a (x + y) -b (x - y) = 3a + b - 2