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Vlada [557]
2 years ago
10

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

Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0

Answer:

<u>infinitely many solutions</u>

Step-by-step explanation:

The system of equations :

  1. 3x + 2y = 7
  2. -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 :

  1. 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
  2. -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>

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As both equations are the same, the system will have <u>infinitely many solutions</u>.

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