Question

y = –6x+2 –12x – 2y = –4 How many solutions does this linear system have?

Answer 1

Solution:

There are infinitely many solutions.

Explanation:

We have been given the system of linear equation

$y=-6x+2 .......(1)\\\\-12x-2y=-4......(2)$

We will solve this system of equation by substitution method and see the number of solutions.

On substituting the value of y from 1 in 2, we get

$-12x-2(-6x+2)=-4\\\\-12x+12x-4=-4\\\\-4=-4\Rightarrow \text{ True}$

Since, we got a true statement.

Hence, there will be infinitely many solutions.