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tester [92]
3 years ago
15

Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

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Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: \frac{y_2-y_1}{x_2-x_1}

I will be using (3,2) and (-3,-2) to find the slope:

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y = mx + b\\y = \frac{2}{3}x+b

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y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2  -2\\\\0=b

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Hope this helps!

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Answer:

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Step-by-step explanation:

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