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).​

Respuesta :

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

[tex]2d + e = 8\\d - e = 4\\[/tex]

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

[tex](2d + d) + (e - e) = (8 + 4)\\3d = 12\\[/tex]

Divide both side by coefficient of d which is 3

[tex]\frac{3d}{3}  = \frac{12}{3} \\d = 4\\[/tex]

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

[tex]2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\[/tex]

Therefore, the solution is (4, 0)

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