Question

Solve. {3d−e=7 d+e=5 Use the linear combination method. The solution is (2, −1). There are infinitely many solutions. The solution is (3, 2). There is no solution.

Answer 1

The solution of the given equations are (3,2).

Explanation:

Given equations are :

3d−e=7 ...(1)

d+e=5 ...(2)

Add equations (1) and (2) we get :

3d-e+d+e=7+5

4d = 12

d = 3

Put the value of d in equation (2).

3+e=5

e = 2

So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).