solving the equation elimination mathod

Question

u+v=7

2u+v=11

Answer 1

Given equation are u + v = 7 and 2u + v = 11.

u + v = 7 --> 1

2u + v = 11 -->2

Equation (2) - (1)

(2u + v) - (u + v ) = 11 - 7

2u + v - u - v = 4

u = 4

Substitute u = 4 in eqn (1)

u + v = 7

4 + v = 7

v = 7 - 4

v = 3

Verification-;

u = 4 and v = 3

Equation (1)

u + v = 7

4 + 3 = 7

7 = 7 (True)

Therefore valuees of u = 4 and v = 3