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2 years ago

2x + y =20 6x - 5y = 12 Solve as a whole number

Mathematics

2 answers:

Tpy6a [65]2 years ago

7 0

Answer:

x = 7, y = 6

(7,6)

Step-by-step explanation:

2x + y =20

6x - 5y = 12

2x + y = 20

-2x -2x

y = -2x + 20

6x - 5y = 12

6x - 5(-2x + 20) = 12

6x + 10x - 100 = 12

16x - 100 = 12

+ 100 +100

16x = 112

/16 /16

x = 7

Now, we solve for y:

2x + y = 20

2(7) + y = 20

14 + y = 20

-14 -14

y = 6

(x, y) -> (7,6)

Hope this helps!

GrogVix [38]2 years ago

6 0

2x + y = 20 (multiply this equation by 5 in order to get rid of y by addition of both equations)

6x - 5y = 12

10x + 5y = 100

6x - 5y = 12

(add both equations to get the below equation)

16x = 112

3. Do simple math:

x = 112/16

x = 7

4. plug in the x (7) into the first equation

2x + y =20

2*7 + y = 20

14 + y = 20

y = 6

(x, y)

answer: (7,6)

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3 years ago

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The rule of the reflection is rx-axis(x, y) → (x, –y) ⇒ 3rd answer

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Let us revise the reflection on the axes

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If point (x , y) reflected across the y-axis , then its image is (-x , y) , the rule of reflection is ry-axis (x , y) → (-x , y)

In Δ LMN

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∵ The y-coordinate of L is 2 and the y-coordinate of L' is -2

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4 years ago

Do the ratios 4ft./6ft. and 12sec/18sec form a proportion? Why or why not?

Ilya [14]

Answer:

Yes! There are 3 different explanations I have. Pick your favorite.

Step-by-step explanation:

So we are asked to see if the following equation holds:

$\frac{4 \text{ ft }}{6 \text{ ft}}=\frac{12 \text{ sec }}{18 \text{sec}}$

The units cancel out ft/ft=1 and sec/sec=1.

So we are really just trying to see if 4/6 is equal to 12/18

Or you could cross multiply and see if the products are the same on both sides:

$\frac{4}{6}=\frac{12}{18}$

Cross multiply:

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$72=72$

Since you have the same thing on both sides then the ratios given were proportional.

OR!

Put 4/6 and 12/18 in your calculator. They both come out to have the same decimal expansion of .66666666666666666(repeating) so the ratios gives are proportional.

OR!

Reduce 12/18 and reduce 4/6 and see if the reduced fractions are same.

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4/6=2/3 (I divided top and bottom by 2)

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3 years ago

PLEASE HELP DUE VERY SOON!

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Answer:

Yes. (see below)

Step-by-step explanation:

First, find the slope of the line. You can do that by using the slope formula:

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Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.

The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.

Now, plug them in:

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3 years ago