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
Thepotemich [5.8K]
3 years ago
11

Solve the system of linear equations by substitution. 2x-y=3 x+5y=14

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

x= 29/11 or y= 25/11

Step-by-step explanation:

2x - y= 3 ...........equation 1

x + 5y= 14 ............equation 2

Make x the subject of the formula in equation 2

x= 14 - 5y ..............equation 3

Substitute x=14 - 5y in equation 1

2(14- 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y= -25

divide both sides by coefficient of y

-11y/-11 = -25/-11

y= 25/11

Substitute y= 25/11 in equation 3

x=14 - 5(25/11)

x= 14 - 125/11

x= 29/11

You might be interested in
Claire accepted a new job at a company with a contract guaranteeing annual raises. Let S
TiliK225 [7]

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

6 0
3 years ago
FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) th
joja [24]

Answer:

you will get 5 outcomes chooseing blue

Step-by-step explanation:

7 0
2 years ago
Riley started selling bracelets. During the first month she sold 400 bracelets at $10 each. She tried raising the price, but for
love history [14]
I would just divide 400 and 10 and then try to come up with the salary
8 0
3 years ago
What is 2 over 15 + 1 over 3 equal​
34kurt

Answer:

Step-by-step explanation:

7/15

and/or

0.46 reapeted 6

3 0
2 years ago
----<br>--1434........3<br>-57-3 -2 -11<br>2+<br>-----3.+....<br>www​
Gnoma [55]

Answer:

Step-by-step explanation:

124

3 0
2 years ago
Other questions:
  • What Is the square root of 15 plus the square root of 15
    12·1 answer
  • Which is greater 100 fl oz or 16 pt
    13·2 answers
  • What is the value of x in the equation? 2/3(x+6)= -18<br> -36<br> -33<br> -24<br> -18
    9·2 answers
  • Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is of
    14·1 answer
  • If an angle is obtuse , then it measures between 90 degrees and 180 degrees
    15·2 answers
  • 240 feet in 12 seconds
    14·1 answer
  • George uses diagram to help determine 30% of 60. what expression could george used?
    10·2 answers
  • Solve the inequality.
    13·1 answer
  • Janet wanted to understand the whether grade level had any relationship
    10·1 answer
  • Please answer!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!