1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
labwork [276]
3 years ago
11

Solve the system by substitution: y = -3x + 10 y=-3x + 4 Please show the steps!

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

You might be interested in
The junior and senior classes at Central High School were asked to choose a destination for a field trip. The results are shown
Ann [662]

Solution:

We are given below frequency table:

             Amusement-Park      Museum         Broadway-Show         Total

Juniors                57                      21                      42                          120

Seniors                64                     44                      58                          166

Total                    121                     65                      100                        286

We have to find the percentage of surveyed students who chose the amusement park.

From the table, we see there are total 121 students who chose amusement park out of total 286 students.

Therefore, the percentage of surveyed students who chose the amusement park is given below:

\frac{121}{286}\times 100=42.3\%

Hence, the option A. 42.30% correct.


3 0
3 years ago
The inequality below compares two rational numbers. -8/18 > -17/27
astraxan [27]

Answer:

I have provided it below

Step-by-step explanation:

- 8/18 > - 17/27

- 0.444444 > 0.62963

So this inequality is TRUE

Hope this helps!!

6 0
3 years ago
Four friends decided to host the grand opening of their bar on St. Patrick's Day. They built their bar's at different distances
ki77a [65]
Doug's bar is 50 km away from Ben's bar. let me know if I need to explain.
8 0
3 years ago
To convert a percent to a fraction, which of the following is not done?
slavikrds [6]
What you do, to convert a percention to a fraction is to divide the percent by 100. This will give you the fraction of that percent. Knowing this, you can eliminate all the other possible answers that have been listed.
4 0
3 years ago
Tammy baked a batch of 20 cupcakes. Daniella baked
ElenaW [278]

Multiplication is the process of multiplying. The total number of cupcakes that are produced by the 3 girls is 44.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Tammy baked a batch of 20 cupcakes and Daniella baked 4/5 as many cupcakes as Tammy. Therefore, the number of cupcakes made by Daniella is,

Number of cupcakes made by Daniella

= (4/5)×(Number of cupcakes made by Tammy)

= (4/5) × 20

= 16

Now, if Miko baked 1/2 as many cupcakes as Daniella. Therefore, the number of cupcakes made by Miko is,

Number of cupcakes made by Miko

= (1/2) × (Number of cupcakes made by Daniella)

= (1/2) × 16

= 8

Further, the total number of cupcakes that are produced are,

Number of cupcakes = 20 + 16 + 8 = 44

Hence, the total number of cupcakes that are produced by the 3 girls is 44.

Learn more about Multiplication here:

brainly.com/question/14059007

#SPJ1

8 0
2 years ago
Other questions:
  • PLEASE HELP MEE WILL GIVE BRAINLIEST
    13·2 answers
  • Lee is comparing brands of juice. Brand A
    7·1 answer
  • Consider 8x2 - 48x = -104. Write the equation so that a = 1: x^2 + __x =__
    8·2 answers
  • Does this graph represent a function? Why or why not?
    8·1 answer
  • What are the lengths?
    5·1 answer
  • The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind
    15·1 answer
  • Can someone give example for parabole questions ?? Plss i am bad at math
    8·1 answer
  • What’s 6r+3=4r-11?????
    14·2 answers
  • Why is 5 a day the color way important to know and understand?​
    5·1 answer
  • Mr. Barsotti has cards numbered 1 through 12. What is the theoretical probability that he draws a number less than 5
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!