Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
Emily = x
Samantha = x + 2
Lauren = x + 4
x + (x + 2) + (x + 4) = 42
x = 12
Thus:
Emily = 12
Samantha = 14
Lauren = 16
Answer:
<em>( - 1 , - 4 ) </em>
Step-by-step explanation:
y = 3x - 1
y = x - 3
3x - 1 = x - 3 ⇒ <u><em>x = - 1</em></u>
y = 3( - 1 ) - 1 = - 4
<u><em>y = - 4</em></u>
<em>( - 1 , - 4 )</em>