Answer:
Add the equations to eliminate k.
Step-by-step explanation:
When we add the equations we get
\(2b =18\)
\(\boxed{b=9}\)
next we put \(b=9\) into \(b=k+10\) and solve for k:
\(9=k+10\\\\\boxed{k=-1}\)
this way we have found k and b; therefore, adding the equations to eliminate k is a correct step for finding k and b.
Let us now look at other choices we were given.
Write the points where the graphs of the equations intersect the x axis.
These points may be the solutions to each equation, but they are not the solutions to the system of these two equations.
Write the points where the graphs of the equations intersect the y axis.
Same thing goes here: these points may be the solutions to each equation, but they are not the solutions to the system of these two equations.
Multiply the equations to eliminate b.
Multiplying the equations doesn't eliminate b, but rather it complicates the matter by producing a quadratic equation—we don't want to go down that road!
