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
Tcecarenko [31]
3 years ago
11

Solve by substitution. Show each step of your work. 5x + y = 15 3x + 2y = 16

Mathematics
2 answers:
uranmaximum [27]3 years ago
4 0

Given equations are 5x + y = 15 and 3x + 2y = 16.

Solving first equation in the form y=mx+b,

5x + y = 15

y = -5x + 15

Substituting y= -5x+15 from first equation into second equation :-

3x + 2y = 16

3x + 2·(-5x + 15) = 16

3x - 10x + 30 = 16

-7x + 30 = 16

7x = 30 - 16 = 14

x = 2

Substituting x=2 into first equation :-

5x + y = 15

5(2) + y = 15

10 + y = 15

y = 15 - 10

y = 5

So final answers are x=2, y=5.

Blababa [14]3 years ago
4 0

5x + y = 15 => y = 15 - 5x

3x + 2y = 16

3x + 2.(15 - 5x) = 16

3x + 30 - 10x = 16

-7x + 30 = 16

-7x = 16 - 30

-7x = -14

x = -14/-7

x = 2

5x + y = 15

5.2 + y = 15

10 + y = 15

y = 15 - 10

y = 5

You might be interested in
A normal probability/quantile plot is used to see if the distribution of a quantitative variable follows a __________ distributi
Flura [38]
The normal distribution has a mean of 0 and a standard deviation of 1.

<span>Standard

I hoped this helped!</span>
6 0
3 years ago
The sum of three consecutive even numbers is 48. what is the largest of these numbers?
shutvik [7]
Let's name the three consecutive even numbers n, n+2, and n+4. We know that their sum will be divisible by 2 because they are all even, so we can set x = n/2, and say that x + x+1 + x+2 = 48/2 = 24. Then, we can solve for 3x + 3 = 24, 3x = 24-3 = 21, and x = 21/3 = 7.
Final answer: n/2 = 7, so n = 14, so n+4 (the greatest number) is 14+4 = 
18.
3 0
3 years ago
Explain why 7*8 is not a number sentence
Naily [24]
Because it is really simple if it was an equation then it would be a number sentence since it only has 2 numbers and 1 thing that u are doing it is not a number sentence
4 0
3 years ago
Use the given triangles to evaluate the expression. Rationalize all denominators. <br> cos Pi/6
Rainbow [258]
There is no figure of the triangle, all that I know about it is
<span>cos Pi/6 =√3/2</span>
7 0
3 years ago
What is the genral form of (x-6)2+(y-4)2=56
dusya [7]
X+y=38 that’s your answer
5 0
3 years ago
Other questions:
  • n the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
    6·1 answer
  • Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly select
    14·1 answer
  • NEED HELP!!! WILL GIVE BRAINLIEST FOR EXPLAINING ANSWERS.
    15·1 answer
  • Is the product of the square root of 16 and the square root of 10 rational or irrational?
    8·1 answer
  • 6-.25x16+21/3 solved and explained please and thank you!
    8·1 answer
  • Population data from three towns is displayed in the tables below. which town has growth that shows an exponential model?
    15·2 answers
  • The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the f
    10·1 answer
  • Solve x2 − 3x = −8. (2 points)
    7·1 answer
  • A small-business owner will lease a billboard to advertise her business. The table shows the linear relationship between the cos
    13·2 answers
  • If m&lt;9=130°, what is m&lt;4?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!