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
PilotLPTM [1.2K]
3 years ago
6

Choose the correct graph of the given system of equations. y − 2x = −1 x + 3y = 4

Mathematics
2 answers:
dusya [7]3 years ago
6 0

<u>Answer-</u>

The 2nd attachment contains the correct plot for the given equation.

<u>Solution-</u>

We can predict which graph corresponds to the given system, by either plotting the equations or by calculating the solution to the system and then comparing with the given options.

Solving the equation,

y-2x=-1 \ and \ x+3y = 4

we can get the solution.

x+3y = 4

\Rightarrow x=4-3y

Putting it in the first equation,

y-2(4-3y)=-1

\Rightarrow y-8+6y=-1

\Rightarrow 7y=7

\Rightarrow y=1

Then putting the value of y=1, in the second equation,

\Rightarrow x=4-3(1)=1

\therefore \ (1, 1) \ is \ the \ only \ solution


Slav-nsk [51]3 years ago
3 0
I believe it'd the one in the middle because if you plug in the values (1,1) both equations are true.
Plug x=1 and y=1 in equations:
LHS = 1 - 2*1 = 1-2 = -1 = RHS
LHS = 1 + 3*1 = 4 = RHS 
So it's the graph in the middle.
You might be interested in
What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?
ycow [4]

Answer:

x=0

Step-by-step explanation:

we have

6(x+1)-5x=8+2(x-1)

solve for x

6x+6-5x=8+2x-2

Group terms that contain the same variable and move the constants to the other side

6x-5x-2x=8-2-6

-x=8-8

x=0

5 0
4 years ago
Read 2 more answers
-2(csc2θ - cot2θ)<br> - 1 <br> -2<br> -3<br> -1
Lorico [155]

Answer:

- 2

Step-by-step explanation:

- 2( { \csc}^{2}  \theta \:  -  {cot}^{2}  \theta)  \\  =  - 2(1) \\  =  - 2

8 0
3 years ago
Find the radius of the circle given the area of the sector is 18.8 and the angle measure is 135 degrees .
alexandr1967 [171]

Answer:

4

Step-by-step explanation: i guessed and got it right

sorry if youre looking for an actual education!!

4 0
2 years ago
A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 60% chance that the team will be
Mashcka [7]

Answer:

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

Step-by-step explanation:

We have these following probabilities:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.

A 30% probability of making the 3 point shot and winning.

What should the coach do, go for the 2 point shot or the 3 point shot?

In which case the team has a higher probability of winning?

The team has:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.

Going for the 3 point shot, the team has a 30% probability of winning.

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

7 0
3 years ago
P(A) = 0.5 P(B) = 0.35 P( A or B) = ?
neonofarm [45]

Answer:

0.5 ≥ x ≥ 0.35

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is 25% mark up from 409.25
    8·2 answers
  • Solve.
    5·1 answer
  • Omar is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, his weight is 204 poun
    8·1 answer
  • Every 2/3 hour, Harris can sew 1/6 pair of jeans.
    6·1 answer
  • #8 32 x 52 is the prime<br> factorization of what<br> number?
    8·1 answer
  • Is 16 a prime or composite number
    14·2 answers
  • If charlie's peanut butter fudge costs $1.50 per pound. how many pounds can you buy for $20.00?
    12·2 answers
  • You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree? 100 in. 128
    5·2 answers
  • A.)$4,000 B.) 5,000 C.)6,000 D.) 7,000 Please only answer if correct
    15·1 answer
  • What is the equivalent value <br> 1/2×6
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!