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Genrish500 [490]
3 years ago
8

Find the points of intersection of the graphs of the equations.

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

To find the point of intersection, just solve for x and y in the equations

so since x - y = -5

x = y - 5

now that we have a value of x, we will substitute x with in in the other equation

<em>5x + 3y = -9</em>

<em>5(y-5) + 3y = -9</em>

<em>5y - 25 + 3y = -9</em>

<em>8y = 16 </em>

y = 2

now use this value of y in the equation we made for x

<em>x = y - 5</em>

<em>x = 2 - 5</em>

x = -3

Hence, the point of contact is (-3 , 2)

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Step-by-step explanation:

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First, we will need to find the slope of this equation. To find this, we must simplify the equation 3x+5y=38 into y=mx+b form. Lets do it!

3x+5y=38
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The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.

The negative reciprocal of the line given is \frac{5}{3}. 

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3 years ago
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Answer:

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Step-by-step explanation:

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(c) Calculate the accumulated interest

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