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m_a_m_a [10]
3 years ago
10

Help me with this algebra problem. Thank you :)

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0
To solve this problem you must apply the proccedure shown below:

 1. You must make a system of equations, as below:

 2. Let's call:

 x: the number of first class tickets bought.
 y: the number of coach tickets bought.

 3. Then, you have:

 x+y=7 (First equation)
 970x+370y=3790 (Second equation)

 x=7-y

 4. By substitution, you have:

 970x+370y=3790
 970(7-y)+370=3790
 y=5

 x=7-y
 x=7-5
 x=2

 Therefore, the answer is:

 - Number of first class tickets bought=2

 - Number of coach tickets bought=5
 
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Graph each linear equation that passes through the given pair of points. Use graph paper.
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Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

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1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

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y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

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3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

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y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

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y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

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