Answer:
Step-by-step explanation:
Solving by elimination and substitution:
x
+
y
=
7
x
−
y
=
−
3
on adding the two equations
y gets cancelled
x
+
y
=
7
x
−
y
=
−
3
2
x
=
4
x
=
4
2
=
2
substituting this value of x
in equation 1:
x
+y
=
7
2
+
y
=
7
y
=
7
−
2
y
=
5
the solution for the system of equations are :
x
=
2
y
=
5
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Answer: x = 2
/3 , − 1
Step-by-step explanation:
You add the numerators and keep it over the denominator. 4/16 plus 12/16 is 16/16 and when the same number is the denominator and numerator at the same time, its 1
1
You could do the question the way it is written, but it is far easier to bring the negative power up to the numerator.
y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0
If you are a purist and want to solve the question the way it is written, you could do it this way.
dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
======================
(x^-2)^2
dy/dx = - (-2 x^ - 3) / x^-4
dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
