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Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 5x=20. Which of the following systems could have led to this equation?1. 3x+3y=24 -2x-3y=42. 5x+2y=20-5x-2y=-203.6x-y=15x+y=-54.x+y=53x-2y=10

Respuesta :

Answer:

The correct option is 4.

Step-by-step explanation:

1. 3x + 3y = 24 ..[1]

-2x - 3y = 4..[2]

Adding [1] and [2]:

x = 24 - 4 = 20

x = 20

The step , 5x = 20 was involved.

2. 5x + 2y = 20..[1]

-5x - 2y = -20..[2]

Adding [1] and [2]:

0 = 0

The step , 5x = 20 was involved.

3. 6x -y = 15 ..[1]

x + y = -5..[2]

Adding [1] and [2]:

7x = 10

x = [tex]\frac{10}{7}[/tex]

The step , 5x = 20 was involved.

4. x + y = 5 ..[1]

3x - 2y = 10..[2]

Adding 2 × [1] and [2]:

5x = 20

x = 4

The step , 5x = 20 was involved.

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