Question

At which point do these lines intersect?
7x-6y=-192
10y=x

Answer 1

(-30,-3)

Explanation:

The given system is

7x-6y=-192

10y=x

Substitute the bottom equation into the top equation to obtain:

`7(10y)-6y=-192`

`\implies 70y-6y=-192`

`\implies 64y=-192`

Divide both sides by 64

`y=-(192)/(64)`

y=-3

This implies that:

`x=10(-3)=-30`

The point of intersection is the solution to the two systems.

The lines intersected at: (-30,-3)