Question

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

Answer 1

infinitely many solutions

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 ⇒ y = -1.5x + 3.5
2. -6y = 9x - 21 ⇒ y = -1.5x + 3.5

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