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2 years ago

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =

Mathematics

1 answer:

Zepler [3.9K]2 years ago

5 0

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3 →(3)

Putting x= (4y+8 )/3 in equation (2), we get

18x-5y=10

18( (4y+8) /3) -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

⇒x= (-8+8)/ 3

⇒x= 0/ 3

⇒x=0

∴x=0 and y= -2

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Step-by-step explanation:

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3 years ago

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

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We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

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Divide both sides by -2

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comparing ith the slope-intercept form of the line equation

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2 years ago

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Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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If required, rewrite the fraction in simplest form.

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Read 2 more answers

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =​

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =