Prove that (10)1/3 > (5)1/3
1 answer:
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Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
<h3>What is a Complex Number?</h3>A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
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