Question

3x-5y=15
6x-10y=30
How many solutions does this system have?

Answer 1

Answer:

0

Step-by-step explanation:

2 (3x - 5y =15)

= 6x -10y =30 (1)

= 6x -10y =30 (2)

= 0

Answer 2

The system will have infinite solutions.

GIVEN

Linear equations:

3x-5y = 15

6x-10y = 30

TO FIND

The number of solutions of the system.

SOLUTION

We can simply solve the above problem as follows;

We are given two linear equation;

3x-5y = 15 (Equation 1)

6x - 10y = 30 (Equation 2)

Dividing the second equation by 2

3x-5y = 15

Subtracting equation (1) by simplified equation (2)

3x-5y-(3x-5y) = 15-15

On Solving the equation;

0 = 0

Since, RHS and LHS are equal the system will have infinite number of solutions.

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