All categories

3 years ago

2x - y = 3 x = -2y - 1

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

Answer:

Step-by-step explanation:

2x - y = 3

x = -2y - 1

2x - y = 3

2(-2y - 1) - y = 3

-4y - 2 - y = 3 {add 2 to both sides}

- 5y = 5 {divide both sides by (-5)}

y = -1

x = -2y - 1 = -2(-1) - 1 = 2 - 1 = 1

You might be interested in

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

never [62]

The correct answer is:

46.6 days

Explanation:

The general form for exponential growth is

$A=p(1+r)^t$ , where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

$A=p(1+0.015)^t$

We also know we want the total amount, A, to be twice that of the initial amount, p:

$2p = p(1+0.015)^t
\\
2p=p(1.015)^t$

Divide both sides by p:

$\frac{2p}{p}=\frac{p(1.015)^t}{p}
\\
\\ 2=1.015^t$

Using logarithms to solve this,

$\log_{1.015}(2)=t
\\
\\46.6=t$

8 0

3 years ago

Read 2 more answers

I'm stuck, please help me

Sav [38]

60/48
x100
60/48=1.25
1.25x100
125%

3 0

3 years ago

Read 2 more answers

Describe domain and range of the graph.

Luda [366]

Domain: the set of possible values of the independent variable or variables of a function.
Range of graph: The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

6 0

3 years ago

In which number does the 5 represent 5x 10,000?

lyudmila [28]

It would be 50,000, because 5*10,000=50,000.

6 0

2 years ago

jamerra received a $3,00 car loan. she plans on paying off the loan in 2 years. at the end of 2 years, jamerra will have paid $4

leonid [27]

The rate of interest is 75 % per year

Solution:

Given that, Jamerra received a $3,00 car loan

she plans on paying off the loan in 2 years

Jamerra will have paid $450 in interest

Therefore, we get

Principal = $ 300

Number of years = 2

Simple Interest = $ 450

Rate of interest = ?

The simple interest is given by formula:

$simple\ Interest = \frac{p \times n \times r}{100}$

Where,

"p" is the principal and "n" is the number of years and "r" is the rate of Interest

Substituting the given values we get,

$450 = \frac{300 \times 2 \times r}{100}\\\\450 = 3 \times 2 \times r\\\\6r = 450\\\\r = \frac{450}{6}\\\\r = 75$

Thus rate of interest is 75 % per year

5 0

2 years ago