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Pair of Linear Equations in Two Variables

Short Answer Type

151.
Solve the following pair of linear equations:
px + qy = p - q
qx - py = p + q

we get

$straight x equals fraction numerator straight p minus qqy over denominator straight p end fraction space space space.. left parenthesis iii right parenthesis$
Putting the value of ‘x’ in (ii), we get
we get
Putting the value of ‘x’ in (ii), we get
Putting the value

Putting the value of ‘y’ in (iii), we get

$straight x equals fraction numerator straight p minus straight q minus straight q left parenthesis negative 1 right parenthesis over denominator straight p end fraction rightwards double arrow space space space straight x equals fraction numerator straight p minus straight q plus straight q over denominator straight p end fraction equals straight p over straight p equals 1 rightwards double arrow space space space straight x space equals space 1$

Hence, the solution is

x = 1, y = -1.

163 Views

Long Answer Type

152.

Solve the following pair of linear equations:

ax + by = c
bx + ay = 1 + c

195 Views

153.

straight x over straight a minus straight y over straight b equals 0 ax plus by equals straight a squared plus straight b squared

150 Views

Short Answer Type

154.

Solve the following pair of linear equations:

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143 Views

155.

Solve the following pair of linear equations:

152x – 378y = – 74
–378x + 152y = – 604

931 Views

Long Answer Type

156.

ABCD is a cyclic quadrilateral (see Fig. 3.7). Find the angles of the cyclic quadrilateral.

781 Views

Short Answer Type

157.

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

146 Views

158.

Is the pair of linear equations consistent:
2x - 3y + 2 = 0,3x - 5y + 4 = 0.

82 Views

159. Find the value of k so that the followings systemk of a equations has no solution.
3x - y - 5 = 0; 6x - 2y - k = 0

589 Views

160. For what value of m, the pair of linear equations mx = 2y, 2x - y + 5 = 0 has unique solution.

368 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

151. Solve the following pair of linear equations:px + qy = p - qqx - py = p + q

Long Answer Type

Short Answer Type

Long Answer Type

Short Answer Type

151.
Solve the following pair of linear equations:
px + qy = p - q
qx - py = p + q