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3 years ago

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-2x+y=1 and y=-x+4 What is x?

1 answer:

Vikentia [17]3 years ago

4 0

When -2x+y=1 and y=-x+4, x = 1

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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>

5 0

3 years ago

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling

vfiekz [6]

Answer:

Probability of rolling a number greater than 2 = 5/6

Step-by-step explanation:

Given:

Number;

1,2,3,4,5,6,7,8,9,10,11,12

Find:

Probability of rolling a number greater than 2

Computation:

Number greater than 2 = 10

Probability of rolling a number greater than 2 = Number greater than 2 / Total number

Probability of rolling a number greater than 2 = 10 /12

Probability of rolling a number greater than 2 = 5/6

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In circle P, diameter QS measures 20 centimeters

velikii [3]

The answer is 19.9 centimeters. Hope this helps!!!

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IRINA_888 [86]

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3 years ago