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FrozenT [24]
2 years ago
8

For the solution (x,y) to the system of equations what is the value of x- y? 7x+3y=8 6x-3y=5

Mathematics
1 answer:
stiv31 [10]2 years ago
4 0

Answer:

  2/3

Step-by-step explanation:

Let's  define z = x-y, so solving for z will tell us exactly what we want to know. Then we can substitute for x: x = z+y, and our equations become ...

  7(z+y)+3y = 8   ⇒  7z +10y = 8

  6(z+y)-3y = 5   ⇒   6z +3y = 5

We can eliminate the y-variable by subtracting 3 times the first equation from 10 times the second:

  10(6z +3y) -3(7z +10y) = 10(5) -3(8)

  60z +30y -21z -30y = 50 -24 . . . . eliminate parentheses

  39z = 26 . . . . collect terms

  z = 26/39 = 2/3 . . . . . divide by the coefficient of z and reduce

The value of x - y is 2/3.

_____

The attached graph shows (x, y) = (1, 1/3), so x - y = 1 - 1/3 = 2/3.

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Hunter-Best [27]
The line that is perpendicular to the line on the graph is y=3

5 0
3 years ago
When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus
Blababa [14]

Answer:

By the Empirical Rule, \pm 3\sigma

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The symbol of a standard deviation is \sigma. So

When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus how many sigma?

By the Empirical Rule, \pm 3\sigma

5 0
3 years ago
Can someone help me do this
djyliett [7]

Answer:

See below

Step-by-step explanation:

It's hard to see your photo but if that say m∠T than your answer would be

m∠ L.

The drawings are saying the the triangles are congruent which means all the interior angles of one triangle are congruent to the angles of the second triangle.    m∠M = m∠J,   m∠K = m∠E and m∠L = m∠T

Since you have two of the angles, you can also determine what m∠L and m∠T is equal to.  The sum on all interior angles must be 180 degrees.

180 - 86 - 32 = 62

7 0
2 years ago
Read 2 more answers
Whoever helps me will be lucky for the rest of your life
Anvisha [2.4K]

Answer:

A) 3.5

16 shovels full

Step-by-step explanation:

9x + 13 = 17x - 15

8x = 28

x = 3.5

20 + 5x = 32 + 4.25x

0.75x = 12

x = 16

7 0
3 years ago
The rabbit population in a certain area is 200% of last years population there are 1,100 rabbits this year, how many were there
Daniel [21]

Answer:

550

Step-by-step explanation:

1100/2=550

(can I get brainliest please)

3 0
2 years ago
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