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3 years ago

How to solve this problem?

Mathematics

1 answer:

Ann [662]3 years ago

7 0

It depend on what problem you have

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Solve the system by substitution. y = -4x 23 - 5y = 44

spin [16.1K]

<h3>Explanation</h3>

Given the system of equations.

$\begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}$

Substitute y = -4x in the second equation.

$23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20}$

Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

$y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5}$

Answer Check by substituting both values in two equations.

First Equation

$y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark$

Second Equation

$23 - 5y = 44 \\ 23 - 5( - \frac{21}{5} ) = 44 \\23 - \cancel{5}( - \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \: \: \: \: \checkmark$

Both equations are true for the value of x and value of y.

<h3>Answer</h3>

 $\begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}$ 

Coordinate Point form

$( \frac{21}{20} , - \frac{21}{5} )$

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3 years ago

How many repeating digits are in 0.536

creativ13 [48]

There are 3 repeating digits in 0.536 because there are 3 numbers behind the decimal

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3 years ago

Read 2 more answers

How to solve fractagons

Law Incorporation [45]

Answer:

By using cross multiplication

Step-by-step explanation:

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2 years ago

A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet

ale4655 [162]

9514 1404 393

Answer:

16,965 mm/min
90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

C = πd

C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

There are 2π radians in each revolution, so the angular speed is ...

(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

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Which of the following is a solution of x2 - 7x = -5?

svetlana [45]

I hope this helps you

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