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
ELEN [110]
3 years ago
6

What is the solution of the system of equations? {4x−3y=152x+2y=4

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0
Start by solving one equation for x or y, this time I'm choosing x. 2x = 4 - 2y, then x = 2 - y. Now substitute in x in the other equation. 4(2-y) - 3y = 15. This simplifies to 8 - 4y - 3y = 15. This simplifies to -7y = 7. Divide both sides by -7, and y = -1. Now plug the y value into the other equation: 2x + 2(-1) = 4. This simplifies to 2x = 6, and x = 3. 
X = 3, Y = -1   or (3,-1)
You might be interested in
Explain number 2 & 3 please
VLD [36.1K]
1. 3x - 2y = 0 => y = 3/2x
4x + 2y = 14<=> 4x + 2*(3/2x) = 14<=> 7x = 14<=> x = 2 & y = 3
2.3p + q = 7=> q = 7 - 3p
2p - 2q = -6<=> 2p - 2*(7-3p) = -6<=> 2p - 14 + 6p = -6<=> 8p = -6 + 14 = 8<=> p = 1 & q = 4
3.3x - 2y = 1=> x = (1+2y)/3
8x + 3y = 2<=> 8*(1+2y)/3 + 3y = 2<=> 8*(1+2y)/3 - 2 = -3y<=> 3*(8*(1+2y)/3 - 2) = -3*(3y)<=> 8*(1+2y) - 6 = -9y<=> 8 + 16y - 6 = -9y<=> 2 = -25y<=> y = -2/25 & x = 7/25
7 0
3 years ago
Three times x less than y is five times y plus two times x in a verbal sentence please help
tankabanditka [31]
SOLUTION:

As an equation it is:

y - 3x = 5y + 2x

If you are asking for it as a sentence ( I will do it as a written sentence as I unfortunately can't show you the sentence verbally as you had asked ), then it is as you had written in your question so:

Three times x less than y is five times y plus two times x

Or you could write is as:

y subtracted by three times x is equivalent to the sum of five times y and two times x.

Essentially, even with the small alterations that you can make to the phrasing and sentence structure, the concepts are the same so you can use one of the above answers or alter it as you please.

Hope this helps! :)
6 0
3 years ago
You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number
raketka [301]
The initial payment per month being 30 and each movie being 2.50 means that if the total payment is 45 then you pay for 6 movies per month, 30x+6(2.5x)
7 0
3 years ago
Read 2 more answers
How do I add k to 17-7k​
Annette [7]

Answer:

17-6k

Step-by-step explanation:

-17k+k=6k

4 0
3 years ago
Estimate the quotient of 394.6 divided by 9
N76 [4]
The answer rounded to the tenths place is 43.8, to the hundredths place is 43.84
8 0
3 years ago
Other questions:
  • I don’t understand 12 and 14
    6·1 answer
  • 3/2n-7/2n = - 8/5<br>What does n equal?
    12·1 answer
  • 1. 11 1/6 =? 2. 2 9/10 =? 3. - 4/12 =? Please help me
    8·1 answer
  • Who swam faster explain please.
    8·2 answers
  • What number has the same absolute value as -5 1/3
    14·2 answers
  • Which description best describes the solution to the following system of equations?
    12·1 answer
  • Please hurry. It’s due in 20 minutes
    13·1 answer
  • 1. 5(x−7)5(x−7)<br> 2. −9(p−3)−9(p−3)<br><br> 3. 3(4x+3y)3(4x+3y)<br><br> 4. −10(5p+7)−10(5p+7)
    14·1 answer
  • Answer the statistical measures and create a box and whiskers plot for the following set of data.
    14·1 answer
  • 20.4 is what percent of 17?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!