To solve the system of equations x + y = 8 and x – y = 4, start by isolating the variable in the first equation. Add a negative y tile on each side and remove zero pairs. The variable x equals 8 – y. So in the second equation, substitute the x tile with 8 – y and simplify to create the equation 8 – 2y = 4. To isolate for y in the second equation, add 8 negative unit tiles to each side and make zero pairs. Next create two equal groups to find that y equals 2. Now return to the first equation and substitute y with 2 positive unit tiles to create the equation x = 8 – 2. Make zero pairs to find that x equals 6. So the solution to the system of equations is x = 6 and y = 2.
Solving Systems of Equations using the Brainingcamp Algebra Tiles virtual manipulative.
Brainingcamp virtual manipulatives can be used anywhere with no setup, cleanup, or lost parts. They are highly effective at engaging today’s digital learners and helping them bringing abstract math concepts to life.
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