8th Grade Math Question of the Day

1. $(4,3)$ (correct answer)
2. $(3,4)$
3. $(6,1)$
4. $(1,6)$

Explanation: This system tests solving two linear equations using substitution (replace variable), elimination (add/subtract to cancel variable), or graphing (estimate intersection). Adding the equations eliminates y: (x + y) + (2x - y) = 7 + 5, which gives $3x = 12$, so $x = 4$. Substitute x = 4 into the first equation: $4 + y = 7$, so $y = 3$, giving the solution $(4, 3)$. Verification confirms both equations: $4 + 3 = 7$ ✓ and $2(4) - 3 = 8 - 3 = 5$ ✓. Common mistakes include subtracting instead of adding (which would give $x = \frac{2}{3}$) or reversing the coordinates. When y-coefficients are opposites, addition eliminates y efficiently.