Q9 of 98 Page 310

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

5x + 2y = 4;


7x + 3y = 5.



To find: - x , y


Given set of lines are : -


5x + 2y = 4;


7x + 3y = 5.


Converting the following equations in matrix form,


AX = B



5R2 – 7R1



Again converting into equation form, we get


5x + 2y = 4;


y = - 3


5x + 2× - 3 = 4


5x = 10


X = 2


∴ x = 2 , y = - 3


More from this chapter

All 98 →
7

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

x + 2y + 4z = 12;


y + 2z = - 1;


3x + 2y + 4z = 4.


 8

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

3x – y – 2z = 2;


2y – z = - 1;


3x – 5y = 3.


 10

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

3x + 4y – 5 = 0;


x - y + 3 = 0.


 11

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

x + 2y = 1;


3x + y = 4.