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Sauron [17]
3 years ago
13

1/5x-2/3y=30 What is the value of the x in the equation when y=15

Mathematics
2 answers:
svetlana [45]3 years ago
8 0

Answer:

\frac{1}{5} x -  \frac{2}{3} y = 30 \\  \frac{1}{5} x -  \frac{2}{3} 15 = 30 \\  \frac{1}{5} x -  \frac{30}{3}  = 30 \\  \frac{1}{5} x  -  10 = 30 \\  \frac{1}{5} x = 30 + 10 \\  \frac{1}{5} x = 40 \\ x = 40 \div  \frac{1}{5}  \\ x = 40 \times  \frac{5}{1}  \\ x = 40 \times 5 \\ x = 200

I hope I helped you^_^

cestrela7 [59]3 years ago
8 0

Answer:

x = 200

Step-by-step explanation:

1/5x-10=30 (2/3y will equal 10 if it y=15)

Add 10 on both sides

1/5x=40

Times 5 on both sides

x = 200

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<em>Additional comment</em>

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stira [4]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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