Elimination Method of Finding Solution of a Pair of Linear Equations
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Solve for x and y:
3x+y+2x−y=2, 9x+y−4x−y=1.
[Concept name: Elimination Method]
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Select the correct approach for solving a pair of linear equations in 2 variables by elimination method.
i) Add or subtract one equation from the other so that one variable gets eliminated.
ii) Multiply both the equations by any non-zero constant to make the coefficients of one variable (either x or y) numerically equal.
iii) Solve the equation in one variable (x or y) to get its value.
iv) Substitute the value of x (or y) in either of the original equations to get the value of the other variable.
(i), (iv), (ii), (iii)
(ii), (i), (iv), (iii)
(ii), (i), (iii), (iv)
(i), (ii), (iii), (iv)
- 5, 3
- 7, 4
- 9, 6
- 10, 7
Select the correct order for solving a pair of linear equations in two variables by elimination method.
i) Add or subtract one equation from the other so that one variable gets eliminated.
ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.
iii) Substitute the obtained value in either of the original equations to get the value of the other variable.
iv) Solve the equation in one variable thus obtained to get its value.
(i), (iv), (ii), (iii)
(ii), (i), (iii), (iv)
(i), (iv), (iii), (ii)
(ii), (i), (iv), (iii)
Find the solution of the following pair of equations.
3x−5y=−1 and x−y=−1
x = - 2 and y = - 1
x = 3 and y = - 1
x = - 1 and y = - 2
x = - 1 and y = - 4
Solve the following pair of equations:
2x+y=7
3x+2y=12
Choose the correct answer from the given options.
(1, 0)
(-3, 2)
(2, 3)
(3, 2)
For the given pair of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0, the solution (x, y) is
((b2c2-b1c1)/(a1b2-a2b1), (c2a2-c1a1)/(a1b2-a2b1))
None of these
((b2c1-b1c2)/(a1b2-a2b1), (c1a1-c2a2)/(a1b2-a2b1))
((b1c2-b2c1)/(a1b2-a2b1), (c1a2-c2a1)/(a1b2-a2b1))
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