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Maru [420]
2 years ago
14

Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=​

Mathematics
2 answers:
zimovet [89]2 years ago
7 0

Answer:

y=\frac{136}{9},\:x=\frac{7}{9}

Step-by-step explanation:

\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}

Isolate y for 4y+11x-67=2:

y=\frac{-11x+69}{4}

\mathrm{Substitute\:}y=\frac{-11x+69}{4}

\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}

Simplify

\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}

Isolate x for \frac{9x+69}{4}-19=0:

x=\frac{7}{9}

\mathrm{For\:}y=\frac{-11x+69}{4}

\mathrm{Substitute\:}x=\frac{7}{9}

y=\frac{-11\cdot \frac{7}{9}+69}{4}

\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}

y=\frac{136}{9}

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

y=\frac{136}{9},\:x=\frac{7}{9}

katen-ka-za [31]2 years ago
3 0

Answer:

x = 29, y = -63

Step-by-step explanation:

Solve the following system:

{4 y + 11 x - 67 = 0 | (equation 1)

{2 y + 5 x - 19 = 0 | (equation 2)

Express the system in standard form:

{11 x + 4 y = 67 | (equation 1)

v5 x + 2 y = 19 | (equation 2)

Subtract 5/11 × (equation 1) from equation 2:

{11 x + 4 y = 67 | (equation 1)

{0 x+(2 y)/11 = -126/11 | (equation 2)

Multiply equation 2 by 11/2:

{11 x + 4 y = 67 | (equation 1)

{0 x+y = -63 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{11 x+0 y = 319 | (equation 1)

{0 x+y = -63 | (equation 2)

Divide equation 1 by 11:

{x+0 y = 29 | (equation 1)

{0 x+y = -63 | (equation 2)

Collect results:

Answer: {x = 29, y = -63

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It is accurate. In the phrase “two more hours than Nandini,” n + 2 are correct translations. Then the correct option is A.

<h3>What is Algebra?</h3>

Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols.

As an example, Kelley models the sentence "Xander studied two more hours than Nandini" using the equation n + 2.

Consequently, the following will describe Kelley's expression's accuracy the best:

It is precise. Since "two" is translated as "2," "more" as "+," and "Nandini's study time is unknown or "n," 2 + n or n + 2 are the appropriate translations for the sentence "two more hours than Nandini."

So, option A is the best choice.

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I understand that the question you are looking for is :

Kelley writes the expression n + 2 to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?

It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.

It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n is the correct translation.

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Step-by-step explanation:

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Step-by-step explanation:

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Then the two points solutions to the system of equations are: (2, 3) and (-1,6)

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