Question

The number of solutions of the pair of linear equations 3x-5y=-1 and 6x-y=7

1
0
2
infinite​

Answer 1

Answer:

infinite

Step-by-step explanation:

Answer 2

Answer:

We get only one solution with the given equations.

Step-by-step explanation:

Given:

The linear equations are $3x-5y=-1$ and $6x-y=7$

We need to find the solutions

By multiplying the first equation by $2$ times and subtracting it from the third equation.

We get

$6x-10y=-2\\\\6x-y=7\\\\(6x-10y)-(6x-y)=-2-7\\\\-9y=-9\\\\y=1$

By substituting the y value in the first equation we get

$3x-5(1)=-1\\\\3x=4\\\\x=\frac{4}{3}$

So we get only one solution