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
Finger [1]
3 years ago
7

Solve the system below using substitution write your final answer as a coordinate point

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

You might be interested in
As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 62 Second number:
polet [3.4K]

We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

In the fraction,

The first number = 62

The second number = 52

Let the number which can be multiply by the fraction = x

Since, The given condition is,

Multiply the first number by to get the second number.

So, We can formulate;

⇒ 62 × x = 52

Solve for x, as;

⇒ 62 × x = 52

⇒ 62x = 52

Divide by 62, we get;

⇒ x = 52 / 62

Multiply and divide by 2;

⇒ x = 26 / 31

Therefore,

We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.

Learn more about the fraction visit:

brainly.com/question/21428159

#SPJ1

5 0
1 year ago
I =125 r=6% t=1 what is p
vfiekz [6]
There is no P in here, you can't solve for P without a P, Or I just don't get the question.
4 0
3 years ago
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

d=16t

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  f(t)=16t

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

8 0
3 years ago
the waiter places a bowl of soup in front of lacy in a counterclockwise direction she passes the soup 90° the person receiving t
dybincka [34]

haifia is the answer did it on test

5 0
3 years ago
A circular pond has a radius of 35 feet. What is the diameter of the pond?
SVEN [57.7K]

Answer:

I believe the radius is half the circle which makes the diameter 2x the radius which is 35+35= 70

4 0
3 years ago
Other questions:
  • Geometry quiz!! help?
    8·2 answers
  • If the first and third of three consecutive even integers are added, the result is 22 less than three times the second integer.
    5·1 answer
  • Pauline travels between two cities. first she drives for 45 minutes at an average speed of 85 km/hr then for 16 minutes at an av
    13·1 answer
  • Is 15 and 1/2 like term
    6·1 answer
  • I need help w geometry
    11·1 answer
  • I NEED HELP ASAP!!!<br>PLEASE HELP ME!!!​
    10·1 answer
  • In the right triangle shown, m B<br> с<br> 12<br> 45<br> A<br> How long is BC?
    10·1 answer
  • What is p in the equation -5 (p+ 3) = -4
    9·2 answers
  • Can someone help with this, and explain it as well​
    6·1 answer
  • A
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!