Math, asked by pratiksha006, 7 months ago

solve the following equation by cramer's rule 3x+4y=2 , 4x-2y=6 ​

Answers

Answered by Anendramishra3112008
1

. 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 = 19 simultaneous equations 3x + 4y = 19

2) 2x − y = 9 simultaneous equations 8x − 4y = 36

simultaneous equations

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 with (5, 1) in the original equations.

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