Solve the following systems of equations: 152x – 378y = - 74 and -378x + 152y = - 604

Consider the given system of equations:

152x – 378y = - 74 …(i)

-378x + 152y = - 604 …(ii)

Adding the equations physics equationand, we get

(152x – 378y) + (-378x + 152y) physics equation= - 74 - 604

⇒ - 226x – 226y = -678

⇒ - 26x = 226y - 678

⇒ x = -y + 3 …(iii)

Subtracting the equation physics equationfrom equation, we get

(152x – 378y) + (-378x + 152y) physics equation= - 74 + 604

Now, adding equation (iii) amd (iv) we get

2x = 4

⇒ x = 2

Substituting this value in the equation (iii), we get

2 = -y + 3

⇒ -1 = - y

⇒ y = 1

Hence, the solutions are physics equationx = 2 and y = 1.

Solutions to the system of equationsphysics equation

152x – 378y = - 74

-378x + 152y = - 604

Are x = 2 and y = 1.