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777dan777 [17]
3 years ago
10

What is the first step in solving the following system of equations? 3 x + y = 23. 8 x + 2 y = 23. Substitute the value of y fro

m one equation into the other equation. Solve the first equation for y. Subtract the second equation from the first equation. Substitute the value of x from one equation into the other equation.
Mathematics
2 answers:
Taya2010 [7]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Our system of equations is:

3x + y = 23

8x + 2y = 23

If we want to use substitution, that means that we essentially want to manipulate one of the two equations so that one variable (like y) is written in terms of the other (like x), and then substitute that expression into the second equation so that we have one variable and one equation and we can easily solve from there.

So the first thing to be done is to write one of the variables in terms of the other. It would be easiest to do it with the first equation and write y in terms of x - in other words, "solve the first equation for y".

The answer is B.

vlada-n [284]3 years ago
3 0

Answer:

Second option:

Solve the first equation for y.

Step-by-step explanation:

3 x + y = 23 (1)

8 x + 2 y = 23 (2)

To solve this system, first step is to make y the subject from (1)

y = 23 - 3x

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Answer:

11

Step-by-step explanation:

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3 years ago
You work at a local grocery store. Your paychecks over the past 6 weeks were $56.05, $41.50, $22.50, $52.90, $49.85 and $31.00.
ICE Princess25 [194]
The arrangement in order would be 22.5, 31, 41.5, 49.85, 52.9, 56.05
the mean would be $42.30 (Added all and divided by 6)
the median would be $45.68 (41.5+49.85=91.35/2= 45.675)
there would be no mode.

5 0
3 years ago
Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.
cestrela7 [59]

The complete question is

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

The radius of the incircle centered at point P is 7 units.

We are given that point P is the incenter of the triangle, and is the center point of the incircle of the triangle.

<h3>What is incircle?</h3>

The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.

Here, The radius of the circle is going to be a perpendicular line from point P to any side of the triangle.

In the triangle ,

PZ = PY = PX,

Each measure of value is equal to the radius of the circle.

Therefore, we already know that PZ = 7 units making the radius, r = 7 units.

Learn more about  incircle;

brainly.com/question/24280138

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4 0
2 years ago
What is the answer to this inequality question 2(4x+1)&lt;3(2x-3)
Nikitich [7]

Answer:

x < -7

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

Distributive Property:

8x + 8 < 6x - 6

Subtract on Both Sides:

8x + 8 < 6x - 6

- 6x       -6x

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

2x + 8 < - 6

      -8    -8

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

2x < -14

Divide on Both Sides:

2x < -14

---     ---

2        2

x < -7

8 0
3 years ago
A scale drawing of a rectangular park had a scale of 1 cm = 100 m.
Brilliant_brown [7]

Answer:

521,400 meters squared

Step-by-step explanation:

With the 1cm = 100m scale

6.6 cm = 660m

7.9 cm = 790m

Area = 660 x 790 = 521,400 meters squared

7 0
3 years ago
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