7.1 Systems of linear equations: two variables  (Page 2/20)

Substitute the ordered pair $\left(5,1\right)$ into both equations.

The ordered pair $\left(5,1\right)$ satisfies both equations, so it is the solution to the system.

Solve the first equation for $y.$

Solve the second equation for $y.$

Graph both equations on the same set of axes as in [link] .

The lines appear to intersect at the point $\left(\mathrm{-3,}\mathrm{-2}\right).$ We can check to make sure that this is the solution to the system by substituting the ordered pair into both equations.

The solution to the system is the ordered pair $\left(\mathrm{-3,}\mathrm{-2}\right),$ so the system is independent.