What is the solution to the system of equations?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Answer:

(-1, 7)

Step-by-step explanation:

we use a simple trick and subtract the whole second equation from the first

3x + y = 4

- 2x + y = 5

------------------

x + 0 = -1

x = -1

2x + y = 5

so,

2×-1 + y = 5

-2 + y = 5

y = 7

You might be interested in

Dylan is at a fruit farm. So far he has 12 apples, Dylan starts walking and checks his basket, he only has 2 apples now. How man

Ilya [14]

On his way walking dylan lost atleast 10 apples

3 0

3 years ago

Read 2 more answers

A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme

AfilCa [17]

Answer:

11.1 years

Step-by-step explanation:

The formula for interest compounding continuously is:

$A(t)=Pe^{rt}$

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:

$2000=1150e^{{.05t}$

We will simplify this first a bit by dividing 2000 by 1150 to get

$1.739130435=e^{.05t}$

To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with

ln(1.739130435)=.05t

Taking the natural log of that decimal on our calculator gives us

.5533852383=.05t

Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

7 0

3 years ago

Which equation can be solved by using this expression?

Marat540 [252]

<u>Answer:</u>

The correct answer option is B. 2 = 3x + 10x^2

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

We are to determine whether which of the given equations in the answer options can be solved using the following expression: