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2 years ago

Solve the system of equations by substitution. Show the steps that correspond with the substitution method.

Mathematics

1 answer:

Makovka662 [10]2 years ago

7 0

5x - 2(-2x - 5) = 19

5x + 4x +10 = 19

9x + 10 = 19

9x = 9

x = 1

y = -2(1) - 5

y = -2 - 5

y = -7

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Answer:

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Step-by-step explanation:

Given:

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For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

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On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

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<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f

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i) The given function is

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The domain is all real values except the ones that will make the denominator zero.

$5-2x=0$

$-2x=-5$

$x=2.5$

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

$5-2x=0$

$-2x=-5$

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$f(0)=\frac{-6}{5}$ .

$f(0)=-\frac{6}{5}$ .

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The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote is $y=-\frac{3}{2}$ .

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The function has no holes in it.

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