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3 years ago

47x + 31y = 63 31x + 47y = 15

Mathematics

1 answer:

NikAS [45]3 years ago

7 0

Answer:

x = 2, y = -1

Step-by-step explanation:

47x + 31y = 63...eqn 1

31x + 47y = 15...eqn 2

multiply eqn 1 by 47 to get eqn 3 and multiply eqn 2 by 31 to get eqn 4...

=> 2209x + 1457y = 2961...eqn 3

=> 961x + 1457y = 465...eqn 4

subtract eqn 4 from eqn 3

=> 1248x = 2496

=> x =2

subst x =2 in eqn 1

=> 94 + 31y = 63

=> 31y = -31

=> y = -1

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Ainat [17]

Answer:

$\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}$

Step-by-step explanation:

$\sf x^2-x+2=0$

<u>Use quadratic formula:</u>

$\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\sf a=1, b=-1, c=2$

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$\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}$

$\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}$

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$\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}$

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<u>Learn more: brainly.com/question/22286698</u>

4 0

2 years ago

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bixtya [17]

The scale factor that was used to create triangle J’K’L’ is 1/3

<h3>How to determine the scale factor?</h3>

From the graph, we have the following highlights:

KL = 3

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The scale factor (k) from JKL to J'K'L is calculated as:

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Hence, the scale factor that was used to create triangle J’K’L’ is 1/3

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brainly.com/question/3457976

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2 years ago

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Kryger [21]

Answer:

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Step-by-step explanation:

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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit

Mademuasel [1]

<u>Answer:</u>

$y = -\frac{2}{3}x + 490$

gradient = = $-\frac{2}{3}$

y-intercept = $490$

<u>Step-by-step explanation:</u>

• The slope-intercept form of an equation takes the general form:

$\boxed{y = mx + c}$ ,

where:

m = slope,

c = y-intercept.

• We are given the equation:

$2x + 3y = 1470$

To change this into the slope-intercept form, we must make y the subject:

$3y = -2x + 1470$ [subtract $2x$ from both sides]

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Step-by-step explanation:

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