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
MrMuchimi
3 years ago
8

Solve the system 3x+y=2 5x-y=8

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:

x= 5/4 ; y= -7/4

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=2;5x−y=8

Step: Solve3x+y=2for y:

3x+y+−3x=2+−3x(Add -3x to both sides)

y=−3x+2

Step: Substitute−3x+2foryin5x−y=8:

5x−y=8

5x−(−3x+2)=8

8x−2=8(Simplify both sides of the equation)

8x−2+2=8+2(Add 2 to both sides)

8x=10

8x

8

=

10

8

(Divide both sides by 8)

x=

5

4

Step: Substitute

5

4

forxiny=−3x+2:

y=−3x+2

y=−3(

5

4

)+2

y=

−7

4

(Simplify both sides of the equation)

Answer:

x=

5

4

and y=

−7

4

You might be interested in
A car insurance company has determined that 66​% of all drivers were involved in a car accident last year. Among the 1010 driver
jenyasd209 [6]

Answer: Our required probability is 0.618.

Step-by-step explanation:

Since we have given that

Probability of all drivers were involved in a car accident last year = 66%

Number of drivers = 10

Number of drivers involved in a car accident = 3

So, probability of drivers involved in car accident is given by

\dfrac{3}{10}\\\\=0.3

Probability of getting 3 or more who were involved in a car accident is given by

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

Here,

P(X=0)=^{10}C_0(0.7)^{10}=0.028\\\\P(X=1)=^{10}C_1(0.7)^9(0.3)=0.121\\\\P(X=2)=^{10}C_2(0.7)^8(0.3)^2=0.233

So, our equation becomes

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

P(X\geq 3)=1-0.028-0.121-0.233=0.618

Hence, our required probability is 0.618.

4 0
3 years ago
Your friend says after using her calculator, she found the p-value equals 7.145013. Can this be right? If not, can you determine
Liula [17]

Answer:

No, It is not possible.

Step-by-step explanation:

3 0
3 years ago
Pretty lost WILL GIVE FIVE STARS
Artemon [7]

Being able to do this problem hinges mainly on your knowing the definitions of the trig functions and being able to read side lengths from the given diagram.

csc theta = hypotenuse / opp side = 4 / √(4^2 + 5^2) = 4 / √41.

sin theta is the reciprocal of csc theta, or √41 / 4.

cot theta is adj side / opp side = 5/4.

3 0
4 years ago
What are the primary factorization of these following numbers : 90,86,25,68,97
wel
If u can message me on my profile, I can help you
7 0
3 years ago
Which size can of green beans shown in the table has the lowest unit price?
posledela
The can of green beans that has the lowest unit price is the 8 oz. size.

To find the unit price of each size, divide the cost by the size. (A number below that's in parentheses means it goes on forever)

0.89 ÷ 6 = 0.148(3)
1.04 ÷ 8 = 0.13
1.69 ÷ 10 = 0.169
4.79 ÷ 32 = 1496875
Among all of these answers, the can with 8 oz. has the least unit price/rate. Thus, this is the answer. 

3 0
3 years ago
Other questions:
  • In the equation x^2+kx+54=0 one root is twice the other root find k
    7·1 answer
  • Draw a triangle that is both a right triangle and an isosceles triangle. You can use either pencil and paper, or a draw program.
    12·1 answer
  • A 2-liter bottle of juice costs $2.80. A box containing six 12-liter bottles sells for $3.90. Which option has a higher cost per
    12·1 answer
  • Triangle JOY is translated using the rule ( x, y ) to ( x + 3 , y-2 ) to create triangle J'O'Y'. If a line segment is drown from
    8·2 answers
  • M + 7 ≥ 20, if m = 11
    9·1 answer
  • PLEASE HELP!! Find the value of x.
    14·1 answer
  • Pleasee helppp meeee withhh thisssss
    13·1 answer
  • I need help with this. -y^2+x^3-4x^3-6y^3+5-2x^3
    13·2 answers
  • Evaluate functions : k(6) =
    7·1 answer
  • What is k(-8) when given the function<br> k(x) = x +5 – 2x2?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!