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melamori03 [73]
2 years ago
14

HELP ME FIND X AND Y: 2x = 4y + 6 and 3x - y = -1

Mathematics
2 answers:
Naddika [18.5K]2 years ago
8 0

Answer:

x = -1

y = -2

Step-by-step explanation:

To get y by itself:

3x - y = -1

-y = -1 - 3x

y = 1 + 3x

Solve for x with substitution:

2x = 4(1 + 3x) + 6

2x = 4 + 12x + 6

2x = 10 + 12x

-10x = 10

x = -1

Plug the x value into 3x - y = -1

3(-1) - y = -1

-3 - y = -1

-y = 2

y = -2

WITCHER [35]2 years ago
4 0

Answer:

x = -1 and y = -2

Step-by-step explanation:

2x = 4y +6

x = 2y + 3

3(2y+3) - y = -1

6y+9 - y = -1

6y - y = -10

5y = -10

y = -2

2x = 4(-2) + 6

2x = -8 + 6

x = -4 + 3

x = -1

I hope this helps!

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The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 32.
KengaRu [80]

Answer:

y = 56

Step-by-step explanation:

given that x and y are proportional then

y = kx ← k is the constant of proportionality

to find k use the given condition y = 14 when x = 8

k = \frac{y}{x} = \frac{14}{8} = \frac{7}{4}, thus

y = \frac{7x}{4}

when x = 32

y = \frac{7(32)}{4} = 56


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Does the equation t degree straight C equals left parenthesis 32 plus 1.8 t right parenthesis degree straight F work for any rat
lorasvet [3.4K]

Answer:

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Step-by-step explanation:

We assume you want to evaluate the equation ...

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The evaluation involves addition and multiplication, both of which are closed for all real numbers, which includes all rational numbers. The equation works for any rational numbers.

Your examples:

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  T = 32 +1.8(8 2/3) = 32 +15.6 = 47.6 . . . . the equation works

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<em>Additional comment</em>

Some calculators play nicely with decimals and mixed numbers.

The product 1.8(8 2/3) can be found as ...

  (1.8)(8 2/3) = 1.8(26/3) = 0.6(26) = 15.6

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Answer:

3

Step-by-step explanation:

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