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
viva [34]
3 years ago
14

Create a system of equations with a solution of (5,-2)​

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0
<h3>5x - y = 27 and 2x + y = 8 are the system of equations with a solution of (5,-2)​ </h3>

<em><u>Solution:</u></em>

Given that,

create a system of equations with a solution of (5,-2)​

<em><u>The equation for a line in slope intercept form:</u></em>

y = mx + b

Where, m is the slope and b is the y intercept

For (x, y) = (5, -2)

-2 = 5m + b

<em><u>When m = 5</u></em>

-2 = 5(5) + b

-2 = 25 + b

b = -2 - 25

b = -27

<em><u>When m = -2</u></em>

-2 = 5(-2) + b

-2 = -10 + b

b = 8

<em><u>Thus equations are:</u></em>

y = 5x - 27

y = -2x + 8

<em><u>Rearranging to standard form,</u></em>

5x - y = 27 --- eqn 1

2x + y = 8 ---- eqn 2

Thus the system of equations are found

<h3><u>Verify:</u></h3>

Solve eqn 1 and eqn 2

Add both eqn 1 and eqn 2

7x = 35

<h3>x = 5</h3>

Substitute x = 5 in eqn 2

2(5) + y = 8

y = 8 - 10

<h3>y = -2</h3>

Thus solution is (5, -2) and the found system of equations are correct

You might be interested in
Can you please answer this question ​
schepotkina [342]

Answer:

1/40

219/250

69/16

Step-by-step explanation:

1.

0.025=(025)/(1000)=1/40

2.

0.876=876/1000=219/250

3.

4.3125=43125/10000=1725/400=69/16

4 0
3 years ago
Whats 5-2y=3x in standard form?
Luda [366]

5-2y=3x \\\\3x+2y=5

4 0
3 years ago
Read 2 more answers
What is the domain of the function expressed by this formula?<br><br> Y= 1/x - 7
Igoryamba

Answer:

x cannot equal seven, there's a mark for it in RSM menu

Step-by-step explanation:

so the answer is y = -7

6 0
1 year ago
40 plus what equals 180
Leno4ka [110]

Answer:

140

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the distributive property to write an equivalent expression.
wlad13 [49]

Answer:

14x+35y-35

Step-by-step explanation:

distribute the 7 to each term

8 0
2 years ago
Other questions:
  • Ten boys share 7 cereal bars equally.What fraction of a cereal bar does each boy get?
    12·1 answer
  • Which of the following is a solution to the following system of inequalities let the green region represents the answer region
    15·1 answer
  • An internet company charges a one-time setup fee of $44.99 and a monthly fee of $29.99 for Internet service. The company is offe
    11·1 answer
  • BRAINLIEST ASAP! PLEASE HELP ME :)
    13·1 answer
  • 6/7k=6 i really need help
    9·2 answers
  • The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area
    10·2 answers
  • Richard and teo have combined age of 36 Richard is 9 years older than twice
    15·1 answer
  • What is the measurement of SRT
    6·1 answer
  • 32% of 250 = ?<br> I need help hurry!!
    10·2 answers
  • Someone, please help me
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!