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hjlf
3 years ago
13

What is the solution of the system of equations? {13x−6y=2 3x−4y=−10

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
Solve the following system:
{13 x - 6 y = 2 | (equation 1)
{3 x - 4 y = -10 | (equation 2)


Subtract 3/13 × (equation 1) from equation 2:
{13 x - 6 y = 2 | (equation 1)
{0 x - (34 y)/13 = (-136)/13 | (equation 2)


Multiply equation 2 by -13/34:
{13 x - 6 y = 2 | (equation 1)
{0 x+y = 4 | (equation 2)

Add 6 × (equation 2) to equation 1:
{13 x+0 y = 26 | (equation 1)
{0 x+y = 4 | (equation 2)


Divide equation 1 by 13:
{x+0 y = 2 | (equation 1)
{0 x+y = 4 | (equation 2)

Collect results:

Answer:  {x = 2                         {y = 4
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3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t
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Answer:

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Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

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We can eliminate the "s" variable by subtracting the first equation from 3 times the second:

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Using this value in the second equation, we find ...

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3 years ago
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iVinArrow [24]

Answer:

\frac{132}{35}

Step-by-step explanation:

In \frac{7}{12} of an hour, Frodo ran 2\frac{1}{5} miles

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So,

Multiplying both sides by \frac{12}{7} , we get,


In \frac{7}{12}*\frac{12}{7} hour, Frodo ran \frac{11}{5}*\frac{12}{7}

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4 0
3 years ago
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