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3 years ago

13

X=3 y=5 z=-2 Please help me with number 10

2 answers:

AlexFokin [52]3 years ago

8 0

Your answer is 26 soooo

zlopas [31]3 years ago

3 0

Answer:

26

Step-by-step explanation:

2*3*5-3(-2)+5(-2)

6*5+6-10

30+6-10

36-10

26

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

spin [16.1K]

<h3><u>Explanation</u></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.

<u>First</u><u> </u><u>Equation</u>

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

<u>Second</u><u> </u><u>Equation</u>

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

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

<h3><u>Answer</u></h3>

<u> $\begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}$ </u>

<u>Coordinate</u><u> </u><u>Point</u><u> </u><u>form</u>

<u> $( \frac{21}{20} , - \frac{21}{5} )$ </u>

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2 years ago

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Answer:

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Step-by-step explanation:

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