Its easy pls help{6x+4y=14}{9x+6y=c}which value of c represents a system with infinitely many solutions?

Mathematics

1 answer:

natka813 [3]2 years ago

3 0

The system of equations 6x+4y=14 and 9x+6y=c are linear equations

The value of c that makes the system have infinitely many solutions is 21

<h3>How to determine the value of c?</h3>

The system of equations are given as:

6x+4y=14

9x+6y=c

Divide through the second equation by 3

3x + 2y = c/3

Multiply through by 2

6x + 4y = 2c/3

Subtract the first equation from the above equation

6x - 6x + 4y - 4y = 2c/3 - 14

Evaluate the differences

2c/3 - 14 = 0

Add 14 to both sides

2c/3 = 14

Multiply by 3/2

c = 21

Hence, the value of c that makes the system have infinitely many solutions is 21

Read more about system of equations at:

brainly.com/question/14323743

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gogolik [260]

Answer:

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Step-by-step explanation:

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3 years ago

WILL GIVE BRAINLIEST!!

sergeinik [125]

Answer: 5.196152423

Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.

I didn't round any of the numbers. Hopefully this is correct.

Sorry about the messy diagrams (never been good at creating them) and how long it took.