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2 years ago

Solve the following system: 3x + 2y = 7 -4.5x - 3y = -10.5

Mathematics

1 answer:

valentina_108 [34]2 years ago

4 0

Answer:

infinitely many solutions

Step-by-step explanation:

The system of equations :

3x + 2y = 7
-4.5x - 3y = -10.5

Multiplying Equation 1 times 3 and Equation 2 times 2 :

9x + 6y = 21
-9x - 6y = -21

Putting the equations in standard form after simplifying :

6y = -9x + 21 ⇒ y = -1.5x + 3.5
-6y = 9x - 21 ⇒ y = -1.5x + 3.5

As both equations are the same, the system will have infinitely many solutions.

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