Solve simultaniously 2x-y=3 3x+2y=8
2 answers:
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Answer:
The first number is <u>18</u> and the second number is <u>27</u>.
Step-by-step explanation:
Given:
A first number is nine less than a second.
The sum of the numbers is 45.
Now, to find the numbers.
Let the second number be
And the first number be
The sum of the both numbers is 45.
According to question:
⇒
⇒
<em>Adding both sides by 9 we get:</em>
⇒
<em>Dividing both sides by 2 we get:</em>
⇒
<u><em>The second number = 27</em></u>.
Now, to get the first number we put the value of :
Therefore, the first number is 18 and the second number is 27.
Answer:
Option D.
Step-by-step explanation:
The vertex form of an absolute function is
where, a is a constant, (h,k) is vertex.
It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.
...(1)
It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.
Put a=-1 in (1).
Now, put y=0, to find the equation for this absolute value function when y=0.
Therefore, the correct option is D.