Answer
Texas has 226000 farms while Missouri has 110000 farms.
Work Step by Step
Let $x$ be the number of farms in Texas and $y$ be the number of farms in Missouri.
Equation 1: $116000+y=x$
Equation 2: $x+y=336000$
Substitute equation 1 to equation 2:
$$x+y=336000$$ $$(116000+y)+y=336000$$ $$116000+2y=336000$$
Subtract $116000$ from both sides:
$$116000-116000+2y=336000-116000$$ $$2y=220000$$
Divide both sides by $2$:
$$\frac{2y}{2}=\frac{220000}{2}$$ $$y=110000$$
Substitute this value of $y$ to equation 1:
$$116000+y=x$$ $$116000+110000=x$$ $$x=226000$$
Check using equation 2:
$$x+y=336000$$ $$226000+110000=336000$$ $$336000=336000$$