Please answer this question, will give brainliest!

Solve the system of equations using substitution y=x-1 and y=-2x+5

pav-90 [236]

Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

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

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)

7 0

3 years ago

⦁ A total of 640 people voted in an election. The circle graph shows the results. ⦁ How many people voted for Goron? Show your w

Bezzdna [24]

Circle graphs or pie charts are used to represent data in percentages or proportions

192 voted for Goron
288 voted for Smith or Fishman

<h3>People that voted for Goron</h3>

The total number of votes is given as:

Total = 640

The circle chart is not given.

So, we make use of an assumed value

Assume 30% voted for Goron

The number of people would be:

Goron = 30% * 640

Evaluate

Goron = 192

Hence, 192 voted for Goron using the assumed value

<h3>People that voted for Smith or Fishman</h3>

Assume 45% voted for Smith or Fishman

The number of people would be:

Smith or Fishman = 45% * 640

Evaluate

Smith or Fishman = 288

Hence, 288 voted for Smith or Fishman using the assumed value

Read more about circle graphs at:

brainly.com/question/24461724

8 0

2 years ago

The answer is C that’s why it has a 1 pt in front <br><br> Plz just help me explain how to get that

Ierofanga [76]

First lets get the formula for a triangular prism

$v =( \frac{1}{2} bh)h$

First lets plug in our numbers

$v =( \frac{1}{2} \times 7 \times 4)8.5$

It really doesnt matter how you multiply everything, but you end up with 119cubic feet.

3 0

3 years ago

Y +

Usimov [2.4K]

Question:

What is the common denominator of $y+\frac{y-3}{3}$ in the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

A) $3 y(y-3)$

B) $y(y-3)$

C) $3y$

D) $3$

Answer:

Option D : 3 is the common denominator

Explanation:

It is given that the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

We need to determine the common denominator of $y+\frac{y-3}{3}$ from the complex fraction.

Let us consider the fraction $y+\frac{y-3}{3}$

To find the common denominator, let us take LCM.

Thus, rewriting the above fraction as,

$\frac{y}{1} +\frac{y-3}{3}$$

The LCM can be determined by multiplying the denominators.

Thus, we get,

$1\times3=3$

Thus, the common denominator is 3.

Hence, Option D is the correct answer.

6 0

3 years ago

The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm

Bezzdna [24]

Answer: $10\ cm^3$

Step-by-step explanation:

Given

The surface area of a rectangular prism is $34\ cm^2$

Width of prism $w=1\ cm$

Length of prism $l=2\ cm$

height of prism $h=x\ cm$

Surface area is given by

$S.A.=2[lw+wh+hl]$

Put values

$34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm$

Now, the volume of Prism is given by

$V=l\times w\times h$

$\Rightarrow V=2\times1\times 5=10\ cm^3$

8 0

2 years ago