Math, asked by anjaliWadhawana, 11 months ago

solve the following simultaneous equation using Cramer's rule
3x-4y=10;4x+3y=5

Answers

Answered by amankumarrai2005
5

Answer:

If we add the equations as they are, neither one of the unknowns will cancel.  Now, if the coefficient of y in equation 2) were −4, then the y's would cancel.  Therefore we will expand our strategy as follows:

Make one pair of coefficients negatives of one another -- by multiplying

both sides of an equation by the same number.  Upon adding the equations, that unknown will be eliminated.

To make the coefficients of the y's 4 and −4, we will multiply both sides of equation 2) by 4 :

1)  3x+4y=193x+4y=19 2)  2x−y=98x−4y=36  11x  =55    x=55

11    x=5

The 4 over the arrow in equation 2) signifies that both sides of that equation have been multiplied by 4.  Equation 1) has not been changed.

To solve for y, substitute  x = 5  in either one of the original equations.  In equation 1):

3· 5 + 4y=19 4y=19 − 15 4y=4 y=1

The solution is (5, 1).

The student should always verify the solution by replacing x and y

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