x=5t^2 and x=10t. solve for x and t. or what does x=? and t=?

Question

pfenn1 · Answer

Equations given:$$x=5t^2$$$$x=10t$$You can set the first equation equal to the second and solve for t.$$x=5t^2=10t=x$$$$5t^2-10t=5t(t-2)=0$$ What is t? What is x?

anonymous · Answer

how did you get from the first equation to the second equation (5t^2 - 10t - 5t(t-2))?

anonymous · Answer

i don't quite understand your steps

pfenn1 · Answer

Sorry.  Since each of the given equations are equal to x, I set them each equal to one another.$$5t^2=10t$$Subtract 10t from both sides to get$$5t^2-10t=0$$ Then I factored out a 5t from the left side$$5t(t-2)=0$$Solve this and 5t=0 and t-2=0.  t=2.  Plug that back into one of the original equations, like x=10t =10(2)=20.
x=20,t=2