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irina1246 [14]
3 years ago
6

- 2x + 5y = -15 How many solutions does the system have? V exactly one The solution to the system is 5x + 2y = -6 How could you

solve this system using elimination? Check all that apply. * Multiply the first equation by 2 and the second equation by 5, then add. Multiply the first equation by 5 and the second equation by 2. Then add. Multiply the first equation by 2 and the second equation by 5, then subtract. Multiply the first equation by 5 and the second equation by 2, then subtract.
Mathematics
2 answers:
goblinko [34]3 years ago
5 0

Answer:

Multiply the first equation by 5 and the second equation by 2. Then add.

Multiply the first equation by 2 and the second equation by 5, then subtract.

Step-by-step explanation:

Given

- 2x + 5y = -15

5x + 2y = -6

Required

Steps to solve using elimination method

<em>From the list of given options, option 2 and 3 are correct</em>

<em>This is shown below</em>

Option 2

Multiply the first equation by 5

5(- 2x + 5y = -15)

-10x + 25y = -75

Multiply the second equation by 2.

2(5x + 2y = -6)

10x + 4y = -12

Add

(-10x + 25y = -75) + (10x + 4y = -12)

-10x + 10x + 25y +4y = -75 - 12

29y = -87

Notice that x has been eliminated

Option 3

Multiply the first equation by 2

2(- 2x + 5y = -15)

-4x + 10y = -30

Multiply the second equation by 5

5(5x + 2y = -6)

25x + 10y = -30

Subtract.

(-4x + 10y = -30) - (25x + 10y = -30)

-4x  + 25x + 10y - 10y= -30 +30

21x = 0

<em>Notice that y has been eliminated</em>

Irina-Kira [14]3 years ago
3 0

Answer:

How many solutions does the system have?

✔ exactly one

The solution to the system is

(

⇒ 0,

⇒ -3).

Step-by-step explanation:

the next two parts

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