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2 years ago

14

Solve the following system of equations: −2x + y = 1 −4x + y = −1

1 answer:

Katyanochek1 [597]2 years ago

5 0

Answer:

<h2>x = 1, y = 3 → (1, 3)</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3$

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mixas84 [53]

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Step-by-step explanation:

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The information provided is as follows:

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2 years ago

What is the location of point g, which partitions the directed line segment from d to f into a 5:4 ratio? a number line goes fro

Zarrin [17]

Using proportions, according to the ratio of the partition, it is found that the location of point g is at 3.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, point g partitions the directed line segment from d to f into a 5:4 ratio, hence:

$g - d = \frac{5}{9}(f - d)$

We have that d = -2 and f = 7, hence:

$g - d = \frac{5}{9}(f - d)$

$g + 2 = \frac{5}{9}(7 + 2)$

g + 2 = 5.

g = 3.

More can be learned about proportions at brainly.com/question/24372153

#SPJ4

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