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ira [324]
2 years ago
10

I need help quick with this question

Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0
7x-23=5x+11
7x=5x+34
2x=34
x=17
5(17)+11=96
7(17)-23=96
180-96=84

10y-6=84
10y=90
y=9


x=17, y=9
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Answer:

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Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

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And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

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The coefficient of the x is the slope

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The slope of the perpendicular line is the negative reciprocal of m, thus

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We know the second line passes through (2,3). That is enough information to find the second equation:

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\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

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