Question

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).​

Answer 1

Answer: Yep it's correct its (4,0)

Step-by-step explanation: i got it correct on the test

Answer 2

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)