Solve. { 2d+e=8 {d-e-4 Use the linear combination method. There are infinitely many solutions. There is no solution. The solution is (4, 0). The solution is (5, - 2).

Question

asked Jul 17, 2020 87.1k views

2 Answers

Razick · Answer 1 · 2020-07-20T22:33:52+0000

Answer:

The solution is (4, 0)

Explanation:

Using Linear combination method to solve:

$2d + e = 8\\d - e = 4\\$

Since "e" have the same coefficient in both equation with opposite operator; we will add.

$(2d + d) + (e - e) = (8 + 4)\\3d = 12\\$

Divide both side by coefficient of d which is 3

$(3d)/(3)  = (12)/(3) \\d = 4\\$

Since d = 4; put 'd' into any of the equation to get 'e'

$2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\$

Therefore, the solution is (4, 0)