-x + 7 = x - 5
add x to both sides of the equation
7 = 2x - 5
add 5 to both sides of the equation
12 = 2x
divide 2 from both sides of the equation
6 = x
Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
Answer:
p -1 = 5p + 3p -8
p=1
Step-by-step explanation:
p -1 = 5p + 3p -8
Combine like terms
p-1 = 8p -8
Subtract p from each side
p-1-p = 8p-p -8
-1 = 7p -8
Add 8 to each side
-1 +8 =7p-8+8
7 = 7p
Divide by 7
7/7 = 7p/7
1 =p
Answer:
p=11/2
Step-by-step explanation:
there are algebra calculators
Answer:
2.2 - 0.4
Step-by-step explanation:
1. Approach
To divide by imaginary number, one must take the fraction and multiply the complex conjugate of the denominator. A complex conjugate is a complex number with its imaginary unit multiplied by (-1). Once one multiplies both the numerator and denominator by the complex conjugate, then the denominator should be a real number (this is because the complex numbers act like binomials when multiplied, and hence the difference of square property works). Now all one has to do is divide every term in the numerator by the real number in the denominator.
2. complex conjugate
As mentioned above, to solve this problem, one has to multiply the numerator and denominator by the complex conjugate of the denominator. That is the complex number in the denominator with its imaginary until multiplied by (-1).
Complex number in the denominator;
(-8 - 6i)
complex conjugate;
(-8 + 6i)
3. Multiplying
Now, one has to multiply the problem's numerator and denominator by the complex conjugate of the denominator. Since a number over itself in fraction format is the same as multiplying by (1), one is allowed to do this;

Multiply

Distribute

4. Simplifying
Now all that is left is to simplify and divide to find the quotient.
=
=
Remember the rotations of
, 
Simplify further

Divide
2.2 - 0.4