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Standard X

Mathematics

Elimination Method of Finding Solution of a Pair of Linear Equations

If x = a and ...

Question

Question 11
If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

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Solution

Answer - C

Since x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then these values will satisfy that equations.
a – b = 2 .... (i)
and a + b = 4 .... (ii)
on adding Eqs. (i) and (ii), we get
2a = 6
a = 3 and b = 1

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Question 11
If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

Q. If

x = a, y = b

is the solution of the systems of equations

x - y = 2

and

x + y = 4

, then the values of

a

and

b

are, respectively

(a) 3 and 1 (b) 3 and 5 (c) 5 and 3 (d)

-

1 and

-

Q. Question 10
A pair of linear equations which has a unique solution x = 2 and y = - 3 is
(A) x + y = 1 and 2x – 3y = -5
(B) 2x + 5y = - 11 and 4x + 10y = - 22
(C) 2x – y = 1 and 3x + 2y = 0
(D) x – 4y + 14 = 0 and 5x – y – 13 = 0

If the pair of linear equations 3x-5y=11 and (5a+b)x-(7a-b)y=4(3a-2b)+1 have infinitely many solutions then find the value of a and b

Q. If x=a,and y=b is the solution of the equation 2x+y=3 and x-y=3. Find the values of a and b.

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Elimination Method of Finding Solution of a Pair of Linear Equations

Standard X Mathematics

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Question 11 If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively: (A) 3 and 5 (B) 5 and 3 (C) 3 and 1 (D) –1 and –3

Answer - C Since x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then these values will satisfy that equations. a – b = 2 .... (i) and a + b = 4 .... (ii) on adding Eqs. (i) and (ii), we get 2a = 6 a = 3 and b = 1

Question 11
If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

Answer - C

Since x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then these values will satisfy that equations.
a – b = 2 .... (i)
and a + b = 4 .... (ii)
on adding Eqs. (i) and (ii), we get
2a = 6
a = 3 and b = 1