Solve the pair of equations 10x 7y 45 3x 7y 38Solution10

Solve the pair of equations:

10x + 7y = 45

3x + 7y = 38

Solution

10x + 7y = 45 -----(1)

3x + 7y = 38 ------(2)

-------------------- subtract

7x = -38 +45

7x = 7 ---> x = 1

Substitute in equation (2)

3 +7y = 38

7y = 35

y = 5

Solution ( 1 , 5)