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Amelie solves the following system of equations.

x+y=20

3x-3y+30

Which values of x and y satisfy this system of equations?

x = 0, y = 20

x = 5, y = 15

x = 10, y = 0

x = 15, y = 5

Verified Answer :

JeanaShupp

Answer: x = 15, y = 5

Step-by-step explanation:

The given system is \(x+y=20.........................(1)//3x-3y+30...............................(2)\)

Multiplying 3 on both sides of equation (1), we get

\(3x+3y=60.........................(3)\)

Now, adding (2) and (3), we get

\(6x=90\\\\\Rightarrow\ x=15\)

Substitute the value of x in (1), we get

\(15+y=20\\\\\Rightarrow\ y=20-15\\\\\Rightarrow\ y=5\)

Hence, the of x and y satisfy this system of equations is x = 15, y = 5.

Answer:

The answer is : X=15,Y=5

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