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3 years ago

Which choice is a solution to the system of equations?

Mathematics

2 answers:

vodka [1.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y - 9 = - x → (2)

Substitute y = 2x - 3 into (2)

2x - 3 - 9 = - x

2x - 12 = - x ( add x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(4) - 3 = 8 - 3 = 5

Solution is (4, 5 ) → B

Lelu [443]3 years ago

4 0

The answer to these question is B

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Answer:

Step-by-step explanation:

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2 years ago

Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript

kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

$log_3(14) \approx 2.402$

<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

$a^b = c$

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

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})$

<h3>Using the above properties</h3>

$log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402$

Thus,

The approximate value for given term is given by

$log_3(14) \approx 2.402$

Learn more about logarithm here:

brainly.com/question/20835449

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