<h2>
<u>Requi</u><u>red</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>
Given system of linear equations are ,
And we need to find the Solution of the linear equation . So let's Firstly number the equations .
<u>→</u><u> </u><u>Multipl</u><u>ying</u><u> </u><u>equⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>by</u><u> </u><u>3</u><u> </u><u>,</u>
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
<u>→</u><u> </u><u>Addin</u><u>g</u><u> </u><u>the</u><u> </u><u>two</u><u> </u><u>equations </u><u>,</u><u> </u>
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
<u>→</u><u> </u><u>Put</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>in</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>,</u>
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
<h3>
<u>★</u><u> </u><u>Hence</u><u>
the required solution is ( 0 , 2 ) .</u></h3>
Answer:
your answer would be 4/12 because there are 4 red marbles and 12 marbles total
Step-by-step explanation:
Since the question doesnt give the amount of players on the team we can just say that each player was given <u>548/p dollars.</u>
You can observe that every next term is computed by adding 4 to the previous one.
This implies that the difference between consecutive terms is always 4, and this is an arithmetic sequence.
In order to find the explicit equation, we can explore the pattern:




So, as you can see, we have

If 109 is a term of the sequence, there must exist a natural number n such that

So, 109 is not a term of the sequence.
Answer:
Part a) The table in the attached figure (see the explanation)
Part b) see the explanation
Step-by-step explanation:
Let
y ----> the total cost of Lift Tickets
x ----> the number of days
we know that
The linear equation in slope intercept form is given by

where
m is the slope or unit rate of the linear equation
b is the initial value or y-intercept pf the linear equation
In this problem we have
The slope is equal to

The y-intercept is equal to

substitute

<u><em>Complete the table</em></u>
Find the value of y for each value of x
For x=0 day

For x=1 day

For x=2 days

For x=3 days

For x=4 days

For x=5 days

For x=6 days

Part b) Explain how you know the data in the table above is linear
The data in the table is linear, because satisfy the equation of the linear equation

where
x is the variable independent or input value (the number of days)
y is the variable dependent or output value (the total cost of Lift Tickets)