1. The problem is to find which ordered pair fits the linear equation $x + 4y = 7$. 2. The equation $x + 4y = 7$ means that for any pair $(x,y)$, when you substitute $x$ and $y$ into the equation, the left side should equal 7. 3. To check if an ordered pair fits, substitute the $x$ and $y$ values into the equation and see if the equation holds true. 4. For example, if the ordered pair is $(1,1)$, substitute $x=1$ and $y=1$: $$1 + 4 \times 1 = 1 + 4 = 5 \neq 7$$ So $(1,1)$ does not fit. 5. If the ordered pair is $(3,1)$, substitute $x=3$ and $y=1$: $$3 + 4 \times 1 = 3 + 4 = 7$$ This equals 7, so $(3,1)$ fits the equation. 6. Therefore, the ordered pair that fits $x + 4y = 7$ is $(3,1)$. Final answer: $(3,1)$