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

Question

Solve each of the following systems of equations using matrix method. 5x + 2y = 4; 7x + 3y = 5.

Philoid · Accepted Answer

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