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3 years ago

A system of linear equations contains two equations with the same slope. Select all of the correct statements.

2 answers:

5 0

B. The system may represent two parallel lines and have no solution.
C. The system my represent the same line and have infinitely many solutions.

lina2011 [118]3 years ago

4 0

Answer:

B and C are correct statements.

Step-by-step explanation:

Given is : A system of linear equations contains two equations with the same slope.

If the two given linear equations have the same slope but different y intercept, then the lines will be parallel. As we know that the parallel lines never meet or intersect, so such equations will have no solution.

Hence, B. The system may represent two parallel lines and have no solution. - is true.

Also if the given equations have same slope and same y intercept then it is the same line with infinite number of solutions.

Therefore, option C. The system may represent the same line and have infinitely many solutions. - is also true.

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Can anyone solve this?

Olenka [21]

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Step-by-step explanation:

Given,

Total number of students and teachers = 409

Students and teachers in each bus = 55

Students and teachers in each van = 12

Let,

x be the number of buses

y be the number of vans

55x+12y=409 Eqn 1

x = y+5 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$55(y+5)+12y=409\\55y+275+12y=409\\67y=409-275\\67y=134$

Dividing both sides by 67

$\frac{67y}{67}=\frac{134}{67}\\y=2$

Putting y=2 in Eqn 2

$x=2+5\\x=7$

Number of students and teachers who rode in vans = Number of vans * Teachers and student in each van

Number of students and teachers who rode in vans = 12*2 = 24

Number of students and teachers who rode in buses = 7*55 = 385

24 students and teachers rode to the zoo in vans and 385 students and teachers rode to the zoo in buses.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

3x² + (4x – x) + 7 – (2x – 1) Which expression is equivalent to this

Airida [17]

Answer:

3x² + x + 8

Step-by-step explanation:

3x² + (4x - x) + 7 - (2x - 1)

Solve what's inside the parenthesis first.

3x² + 3x + 7 - 2x + 1

Combine like terms.

3x² + x + 8

6 0

3 years ago

Given that g(x) = 3x - 5, evaluate g(4 + h) ———— h

ElenaW [278]

Answer:

3h+7/h

Step-by-step explanation:

the parenthesis in g(4+h) is saying that is x. plug in 4+h in the x and evaluate.

so you would get 3(4+h)-5. distribute the 3 and get 12+3h-5. combine like terms to get 3h+7!

then it's just over h because you can't simplify anymore. so the real answer is 3h+7/h!!

8 0

3 years ago

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What best describes the number 5? Write prime, composite, neither prime nor composite or both prime and composite

ki77a [65]

The best word that describes the # 5 is prime

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3 years ago

Kennedy was asked to solve the equation

olganol [36]

Answer: C
First you have to get rid of the 8 because it is a constant. -4-8=-12. Then, you multiply out the denominator to isolate the variable. This means -12*3=-36

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3 years ago

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