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
Gnom [1K]
2 years ago
11

Solve the following simultaneous equations. 5x – 3y = 6 3x + 4y= 21

Mathematics
1 answer:
ehidna [41]2 years ago
3 0

Answer:

y  = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

  • y = 3

  • x = (6 + 3(3))/5 = 3
You might be interested in
Find the midpoint of segment AB given. A (-3, 2) and B (3, -2)
Tasya [4]

\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-3,\ 2)\ \text{and}\ B(3,\ -2).\ \text{Substitute:}\\\\x=\dfrac{-3+3}{2}=\dfrac{0}{2}=0\\\\y=\dfrac{2+(-2)}{2}=\dfrac{0}{2}=0\\\\Answer:\ \boxed{(0,\ 0)}

8 0
3 years ago
Upvote an will mark brainlest
Irina18 [472]

Answer:heyyy there...the answer is b that is -12x^3+12x^2-20

Step-by-step explanation:

<h3>f(x)= -12x^3+19x^2-5</h3><h3>g(x)= 7x^2+15</h3><h3>f(x)-g(x)=(-12x^3+19x^2-5)-( 7x^2+15)...{while opening the bracket the sign of the second polynomial changes accordingly}</h3><h3>it becomes -12x^3+19x^2-5-7x^2-15</h3><h3>=-12x^3+12x^2-20</h3><h3>HOPE IT HELPED UUUU</h3>
7 0
3 years ago
You estimate that a baby pig weighs 21 lbs but it weighs 28 lbs what is the percent of error
lbvjy [14]
Your estimate of the baby pig's weight is 2 pounds. However the actual weight of it is only 16 pounds.
Let's solve for the percentage error of this.
=> 20 - 16 = 4 pounds
=> 4 / 16 = 0.25
=> 0.25 * 100% = 25%
Thus, you added 25% of the baby pig's weight
3 0
3 years ago
Read 2 more answers
Please help me solve this:
frez [133]
X+0.5 could be an inequality to represent the possible weight of the second fish, unless you can tell me the weight of the first fish?
6 0
3 years ago
Read 2 more answers
A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability
Hoochie [10]

Answer:

The probability  of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

  • A city council consists of seven Democrats and five Republicans.
  • A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\times (n-k)!}

Compute the number of ways to select four people as follows:

{12\choose 4}=\frac{12!}{4!\times (12-4)!}=495

Compute the number of ways to selected two Democrats as follows:

{7\choose 2}=\frac{7!}{2!\times (7-2)!}=21

Compute the number of ways to selected two Republicans as follows:

{5\choose 2}=\frac{5!}{2!\times (5-2)!}=10

Then the probability  of selecting two Democrats and two Republicans as follows:

P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242

Thus, the probability  of selecting two Democrats and two Republicans is 0.4242.

6 0
2 years ago
Other questions:
  • You have filed your taxes more than 60 days late which means you are subject to a penalty of $135 or 100% of your unpaid tax, wh
    12·2 answers
  • What is the midpoint between A and B?
    9·3 answers
  • Please answer correctly !!!! Will mark brainliest !!
    12·2 answers
  • Which of the following is the multiplicative inverse of 2x?<br> 1/2 X<br> -1/2 X<br> -2x<br> 2x
    15·1 answer
  • -2(4n-6)=22 what is n?
    5·2 answers
  • An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
    6·1 answer
  • Write a linear equation that passes through the point (2,-9) and has a slope of -5
    13·1 answer
  • HELP ME PLS ! 20 POINTS
    10·2 answers
  • The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately h
    14·1 answer
  • A jar has 5 red candies, 4 orange candies, 6 green candies, and 7 blue candies. What is the probability you will randomly pull a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!