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

Question

Solve each of the following systems of equations using matrix method. x + 2y = 1; 3x + y = 4.

Philoid · Accepted Answer

To find: - x , y

Given set of lines are : -

x + 2y = 1

3x + y = 4

Converting the following equations in matrix form,

AX = B

R₂ – 3R₁

Again converting into equation form, we get

x + 2y = 1

- 5y = 1

Y =

x + 2 = 1

x + = 1

x = 1 +

X =

∴ x = , y =