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4 years ago

For the graph shown, select the statement that best represents the given system of equations.

Mathematics

2 answers:

Step2247 [10]4 years ago

8 0

Answer: The statement 'C. Consistent and independent' best represents the given system of equation.

Step-by-step explanation:

If a system of equations has at least one solution then it is called consistent while if it does not have any solution then it is called inconsistent.

The consistent system further divides into two types,

Independent : If a consistent system has exactly one solution.

Dependent : If a consistent system has infinitely many solutions.

Here, the given system of equations,

5y - 7x = 10,

3y + 4x = 6,

Since, by solving these equations,

We get, x = 0 and y = 2,

Hence, the solution of the given system of equations is (0,2) ( also shown in the graph )

By the above definition,

⇒ It is an independent consistent system.

⇒ Option C is correct.

Marina86 [1]4 years ago

4 0

The answer is C.consistent and independent

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Step 1,2 and 4 are correct.

Step-by-step explanation:

We have been given an equation:

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We need to analyze Lorena's steps

Step 1 is correct that is she correctly distributed –3 to the parentheses.

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Step 2 is correct that is she combined like terms 5k and 2k

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Step-by-step explanation:

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