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ANTONII [103]
3 years ago
8

eva and Liam are reading a novel in their English class. Liam has read 17 pages less than eva has. if they had read 265 pages co

mbined, how many pages had Liam read?
Mathematics
2 answers:
charle [14.2K]3 years ago
8 0
Let x= # pages Liam read
x + (x+17) = 265
2x + 17 = 265
-17.          -17
2x=248
x=124
Liam read 124 pages
Varvara68 [4.7K]3 years ago
3 0
265/2=132.5
132.5 - 17 = 115.5

Liam read 115 and a half pages
Eva read 149 and a half pages
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3 years ago
Miguelle is deciding which type of heating system to put in his house. An oil system costs $2700 to install and
stellarik [79]

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We will first let x be the number of years and y be the total cost.

In that case, let's plug in the values for each into the equation <em>y=mx+b, </em>where m is the slope and b is the y-intercept.

The y-intercept will be the <u>value we start with before any years pass</u>, so it will be the <u>installation cost</u>. The slope is <u>how fast the total cost will increase</u>. Since the <u>operation costs</u> have to be added on every year, it will be our slope.

With that in mind, let's create both of our equations:

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Since y is solved for in the first equation, we can substitute it into the second equation:

900x + 2700 = 200x + 9000

700x + 2700 = 9000 <em>[Subtracting 200x from both sides]</em>

<em />700x = 6300 <em>[Subtracting 2700 from both sides]</em>

<em />x = 9 <em>[Dividing both sides by 700]</em>

<em />

We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:

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Hence, the solution to this linear system is (9, 10800).

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