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irinina [24]
3 years ago
9

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

e number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.

x – y = 34

x + y = 212
Mathematics
1 answer:
Talja [164]3 years ago
5 0
To solve, you just set the first equation equal to x, so x=34+y. Then you plug 34+y in for x on the second equation, giving you (34+y)+y=212.
Then simplify to 34+2y=212.
Minus 34 on both sides to get 2y=178.

Then solve for y, substitute that value into the first equation, and then solve for x.
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klasskru [66]

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Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

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m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

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m = 2/(1-0)

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So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

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2 years ago
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