Question

What is the solution to the system of equations below? Y=-1/4x+2 and 3y=-3/4x-6

Answer 1

Answer:

There are infinite solutions to the system of equations given

Solution:

The given equations given are,

$y=-\frac{x}{4}+2$------ (i)

$3 y=-\frac{3 x}{4}-6$---- (ii)

Now putting the value of (i) in (ii) we get,

$3 \times\left(-\frac{x}{4}+2\right)=-\frac{3 x}{4}-6$

$\Rightarrow-\frac{3 x}{4}+6=-\frac{3 x}{4}-6$

$\Rightarrow\frac{3 x}{4}-\frac{3 x}{4}=-12$

$\Rightarrow0 \times x=-12$

$\Rightarrowx=(\frac{-12}{0})=\infty$

So, there are infinite solutions to the system.