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2 years ago

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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Step-by-step explanation:

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3 years ago

If R= {(1,2), (3,4), (5,6), (8,9)} find the domain and range of R a. Find value of X and Y.

podryga [215]

<h2>The Domain and Range of a Set of Ordered Pairs</h2><h3>Answer:</h3>

Domain: $x \in \{ 1, 3, 5, 8 \}$

Range: $y \in \{ 2, 4, 6, 9 \}$

<h3>Step-by-step explanation:</h3>

We are given the set of ordered pairs: $R$ . The Domain is just the set containing all the $x$ values of each ordered pair of $R$ . Recall that in the ordered pair $(a,b)$ , $a$ is the $x$ value. In set $R$ , we can see that the $x$ values are $\{ 1, 3, 5, 8 \}$ .

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