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NISA [10]
3 years ago
8

What is the solution to the system of equations?

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0

Answer:

The solution would be (-19, 40)

Step-by-step explanation:

In order to solve this system by substitution, simply take the value of y in the first equation and use it in place of y in the second. This will allow you to solve for x.

5x + 2y = 15

5x + 2(-3x - 2) = 15

5x - 6x - 4 = 15

-x - 4 = 15

-x = 19

x = -19

Now that we have the value of x, we can find the value of y.

y = -3x - 3

y = -3(-19) - 3

y = 43 - 3

y = 40

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Sedbober [7]

Your distance from Seattle after two hours of driving at 62 mph, from a starting point 38 miles east of Seattle, will be (38 + [62 mph][2 hr] ) miles, or 162 miles (east).

Your friend will be (20 + [65 mph][2 hrs] ) miles, or 150 miles south of Seattle.

Comparing 162 miles and 150 miles, we see that you will be further from Seattle than your friend after 2 hours.

After how many hours will you and your friend be the same distance from Seattle?  Equate 20 + [65 mph]t to 38 + [62 mph]t and solve the resulting equation for time, t:

20 + [65 mph]t  = 38 + [62 mph]t

Subtract [62 mph]t  from both sides of this equation, obtaining:

20 + [3 mph]t = 38.  Then [3 mph]t = 18, and t = 6 hours.

You and your friend will be the same distance from Seattle (but in different directions) after 6 hours.

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3 years ago
Need this ASAP!!! 100 points!!
AlekseyPX

Answer:

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Step-by-step explanation:

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kkurt [141]

see the attachment photo!

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3 years ago
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can repre
swat32

Equal expressions can be taken equal to an another variable. The system of equations representing the equation is  y = x + 3\\y = 4x + 8

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)

Log with base e = 2.71828... is written as \ln(x) simply.

Log with base 10 is written as \log(x) simply.

The given equation is:

\log_4(x+3) = \log_2(2 +x)

Adding \log_2(4) on both the sides, we get:

\log_2(4) + \log_4(x+3) =\log_2(4) +  \log_2(2 +x) \\\\log_2(x + 3) = log_2(4(2+x))\text{\: \: \: (using first and  last property listed)}\\\\x+3 = 8+4x = y(say)

The, we get two equations as:

y = x + 3\\y = 4x + 8

This is the needed system of equations.

Learn more about logarithms here:

brainly.com/question/20835449

6 0
3 years ago
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