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snow_lady [41]
3 years ago
15

Solve by substitutionx+3y=5 -2x-4=-5 ​

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

x = 1/2 , y = 3/2

Step-by-step explanation:

Solve the following system:

{3 y + x = 5

-2 x - 4 = -5

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{3 y + x = 5

-2 x - 4 = -5

Hint: | Isolate terms with x to the left hand side.

Add 4 to both sides:

{3 y + x = 5

-2 x = -1

Hint: | Solve for x.

Divide both sides by -2:

{3 y + x = 5

x = 1/2

Hint: | Perform a substitution.

Substitute x = 1/2 into the first equation:

{3 y + 1/2 = 5

x = 1/2

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{3 y + 1/2 = 5

x = 1/2

Hint: | Isolate terms with y to the left hand side.

Subtract 1/2 from both sides:

{3 y = 9/2

x = 1/2

Hint: | Solve for y.

Divide both sides by 3:

{y = 3/2

x = 1/2

Hint: | Sort results.

Collect results in alphabetical order:

Answer:{x = 1/2 , y = 3/2

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Answer:

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Step-by-step explanation:

The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)

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This implies that eqn (i) can be rewritten as:

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2 = 3(0) + b

this implies that b = 2

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5 = 3(1) + b

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Assume that military aircraft use ejection seats designed for men weighing between 141.8 lb and 218 lb. If​ women's weights are
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Answer:

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And we can find this probability with this difference and using the normal standard table:

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Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

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Where \mu=173.6 and \sigma=49.8

We are interested on this probability

P(141.8

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

P(141.8

And we can find this probability with this difference and using the normal standard table:

P(-0.639

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

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Dimas [21]

Step-by-step explanation:

8x + 11=2(4x-7) + 25

8x + 11 = 8x - 14 + 25

8x + 11=8x- 14 + 14 +25 + 11

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8x-8x =14 + 25 + 11

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