There are six possible outcomes and one favourable event (2 is the only one even prime number), so the probability is 
.
What is 4x + 2 = 7x + 9
2 answers:
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Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by <em>a, b</em>, and <em>c</em>.
The sum of the three is 103. Thus, we can write that:
The second number is five less than the first. So:
And the third number is four times the first. So:
Substitute:
Solve for <em>a</em>. Combine like terms:
Add five to both sides:
And divide both sides by six. Therefore:
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
Answer:
Step-by-step explanation:
To find x₁ and x₂ :
Step 1
Multiply first 2 x 2 matrix with 2 x 1 vector, we get
Step 2
Add the 2 x 1 matrices on LHS, we get
Step 3,
we get
and
Step 4,
Simplify, we get
Step 5,
multiply eqn(1) by 4
we get
Step 6,
eqn (2) - eqn(3)
we get
substituting in eqn (1), we get
so, we get
Therefore