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BARSIC [14]
3 years ago
14

Which ordered pair is a solution to the system of linear equations?

Mathematics
2 answers:
Lostsunrise [7]3 years ago
8 0
(0,2)............................................
Andreyy893 years ago
4 0
We have to add the equations in a clever way such that one of the variables cancels out. If you multiply the top one with 3 and the bottom one with 2, you cancel x. Like this:

3(2x+3y)=3*6 => 6x + 9y = 18
2(-3x+5y)=2*10 => -6x + 10y = 20

9y + 10y = 38 => 19y = 38 => y=2

If y=2 then 2x + 6 = 6 => x=0

The pair (0,2) is a solution.

You might be interested in
A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
liubo4ka [24]

Answer:

At a speed of 57 mph for 8 hr a driver will travel 456 mi

Step-by-step explanation:

Here we have a summary of the letters for each variable:

Speed ---> r          (in units of mph)

Time ---> t            (in units of hr)

Distance ---> d     (in units of mi)

These three variables are related by the next formula:

d = rt

In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:

r = 57 mph

t = 8 hr

The only thing you have to do is replace the values:

d = rt    ---->     d = 57 mph x 8 hr

                        d = 456 mi

5 0
3 years ago
A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even.
iVinArrow [24]

Answer:

Size of |E n B| = 2

Size of |B| = 1

Step-by-step explanation:

<em>I'll assume both die are 6 sides</em>

Given

Blue die and Red Die

Required

Sizes of sets

- |E\ n\ B|

- |B|

The question stated the following;

B = Event that blue die comes up with 6

E = Event that both dice come even

So first; we'll list out the sample space of both events

B = \{6\}

E = \{2,4,6\}

Calculating the size of |E n B|

|E n B| = \{2,4,6\}\ n\ \{6\}

|E n B| = \{2,4,6\}

<em>The size = 3 because it contains 3 possible outcomes</em>

Calculating the size of |B|

B = \{6\}

<em>The size = 1 because it contains 1 possible outcome</em>

8 0
3 years ago
Given that
Ganezh [65]

Answer:

x^{2} -9x

Step-by-step explanation:

I will upload a picture with my work.

4 0
3 years ago
What is the measure of ∠L?
otez555 [7]
<h3>Answer:  72.54</h3>

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

8 0
2 years ago
Write an algebraic expression for the pharse: 5 less than the product of 6 and n
kiruha [24]

6n - 5 is the answer

<h2>YOURE WELCOME, PLEASE MARK AS BRAINLIEST AND FOLLOW ME ❤️❤️</h2>
7 0
3 years ago
Read 2 more answers
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