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3 years ago

Solve the System of Equations using the substitution method. -5x-3y=16 y=x

1 answer:

8 0

According to the second equation, “x” is equal to “y.” With this knowledge, we can substitute the value “x” into the first equation:

-5x – 3y = 16
-5x – 3(x) = 16

Combine like terms:

-8x = 16

Divide (-8) from both sides of the equation:

x = -2

We have proven that “x” is equal to (-2). Using this knowledge, we can now substitute the known value of “x” into the second equation:

y = x
y = (-2)

We have now proven the values of both X and Y:

x = -2
y = -2

I hope this helps!

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In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of

vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X Southwest , Y X^2 Y^2 XY

45.96 38.76 2112.3216 1502.3376 1781.4096

46.8 45.41 2190.24 2062.0681 2125.188

47.93 15.7 2297.2849 246.49 752.501

51.78 49.58 2681.1684 2458.1764 2567.2524

52.17 44.34 2721.7089 1966.0356 2313.2178

47.36 18 2242.9696 324 852.48

Total 292 211.79 14245.6934 8559.1077 10392.0488

Sample size: n =6

Now

$S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27$

$S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03$

$S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94$

The coefficient of correlation is :

$r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436$

7 0

3 years ago

Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...

Roman55 [17]

Answer: 7(3m - 7n)

<u>Step-by-step explanation:</u>

Factor each term then see what value(s) they have in common:

21m - 49n

∧ ∧

3 · 7 · m 7 · 7 · n

Both terms have a 7 in common. What is left over after removing the 7?

21m: 7(3m)

49n: 7(7n)

GCF: 7 Leftovers: 3m <em>and</em> 7n

Factored form of expression is: 7(3m - 7n)

6 0

3 years ago

Read 2 more answers

Please help whats the answer !!

STALIN [3.7K]

Yes, they are proportional. if you divide the second fraction down to simplest form, you get 7/12, which is equal to the first fraction.

3 0

3 years ago

True or False: You can tell if two ratios form a proportion if their cross products are equal. True O False

daser333 [38]

Answer:

Step-by-step explanation:

False

7 0

3 years ago

How do you solve this equation? x/2 - x = x/4 + 6

fenix001 [56]

Answer:

x= - 8

Step-by-step explanation:

multiply both sides by 4 to get rid of the fractions. you should then get:

2x-4x=x+24

then get all the x terms to one side by subtracting by x on each side:

2x-4x-x=24

then simplify:

-3x=24

divide by -3 on each side:

x= - 8

4 0

3 years ago