Amelie solves the following system of equations. x plus y is equal to 20 3 x minus 3 y is equal to 30 Which values of x and y satisfy this system of equations?
Answer
A
x is equal to 10 comma y is equal to 0
B
x is equal to 5 comma y is equal to 15
C
x is equal to 15 comma y is equal to 5
D
x is equal to 0 comma y is equal to 20
Explanation
Divide the second equation, 3x − 3y = 30, by 3 to get x − y = 10. Adding this to x + y = 20 gives 2x = 30, so x = 15 and y = 5; choice C gives these values.
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