FABULOUS🩵
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Saturday 31 October 2026 20:46:26 GMT
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![There's a way to solve a 2x2 system without substitution or elimination — and it's mostly bookkeeping. Start with 2x + y = 11 and x + 3y = 13. Put the coefficients into a matrix, [[2,1],[1,3]], and compute its determinant: 2·3 − 1·1 = 5. Call it D. This single number becomes the denominator for both unknowns. Now replace one column at a time with the constants from the right-hand side. Swap in (11, 13) for the x-column and the determinant becomes 33 − 13 = 20. Swap it into the y-column instead and you get 26 − 11 = 15. Divide each by D: x = 20/5 = 4 and y = 15/5 = 3. Substituting back into the original equations confirms both. The one condition is that D cannot be zero. When it is, the two lines are parallel or identical, there's no single intersection point, and the method breaks down. Follow Benny Math for more visual walkthroughs of the methods nobody explained properly the first time. #math #cramersrule #linearalgebra #education #bennymath](/video/cover/7703273464219585824.webp)
