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3 years ago

Why is the point ( 3, 4 ) the solution to this system of equations? y= 1/3x + 3 y= 2x - 2

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

Answer:

The answer to your question is because it is a solution of each equation.

Step-by-step explanation:

Data

Point (3,4)

Equation l y = 1/3x + 3

Equation ll y = 2x - 2

Process

1.- To test is a point is solution to a system of equations,

-Substitute the point in both equations

Equation l 4 = 1/3(3) + 3

4 = 1 + 3

4 = 4 The point is a solution because

4 = 4

Equation ll 4 = 2(3) - 2

4 = 6 - 2

4 = 4 This point is a solution for the second

equation but not for the first one.

2.- Conclusion

As the point is a solution of each equation, it is a solution of the system.

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