Q10 of 98 Page 310

Solve each of the following systems of equations using matrix method.

3x + 4y – 5 = 0;


x - y + 3 = 0.



To find: - x , y


Given set of lines are : -


3x + 4y – 5 = 0;


x - y + 3 = 0


Converting the following equations in matrix form,


AX = B



3R2 – R1



Again converting into equation form, we get


3x + 4y = 5


- 7 y = - 14


Y = 2


3x + 4y = 5


3x + 4×2 = 5


3x = - 3


X = - 1


∴ x = - 1 , y = 2


More from this chapter

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8

Show that each one of the following systems of equations is inconsistent.

3x – y – 2z = 2;


2y – z = - 1;


3x – 5y = 3.


 9

Solve each of the following systems of equations using matrix method.

5x + 2y = 4;


7x + 3y = 5.


 11

Solve each of the following systems of equations using matrix method.

x + 2y = 1;


3x + y = 4.


 12

Solve each of the following systems of equations using matrix method.

5x + 7y + 2 = 0;


4x + 6y + 3 = 0.