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1 vote
Why is the point ( 3, 4 ) the solution to this system of equations?

y= 1/3x + 3
y= 2x - 2

User Jtgameover
by
5.7k points

1 Answer

5 votes

Answer:

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

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.

User Krish Allamraju
by
5.6k points
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