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jolli1 [7]
3 years ago
12

What is 3x+2y=-13 3x+4y=1

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

Or

y = 2 1/3

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Answer:

20 and 25.

Step-by-step explanation:

Given:

They both teach total 45 yoga classes each week.

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How many classes does each instructor teach per week  = ?

Solution:

Let number of classes are taken by Bo = x

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x + 2x - 15 = 45

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By adding both side by 15

3x = 60\\

By dividing both side by 3

x = 20

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number of classes are taken by Erica = 2x - 15

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Therefore, number of classes are taken by Bo and  Erica is 20 and 25.

6 0
4 years ago
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Answer:

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Step-by-step explanation:

Given:

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Answer:

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Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

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Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

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