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Q: Solve using susbstitution method X-5y equals -54 and 2y-5x equals 63?
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Solve this equation using addition method 4a subtract 5b equals 7 and 4a plus 5b equals 17?

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How do you solve an or problem if a variable is unrestricted in sign?

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Can you solve a quadratic equation without factoring?

using the quadratic formula or the graphics calculator. Yes, you can do it another way, by using a new method, called Diagonal Sum Method, that can quickly and directly give the 2 roots, without having to factor the equation. This method is fast, convenient and is applicable to any quadratic equation in standard form ax^2 +bx + c = 0, whenever it can be factored. It requires fewer permutations than the factoring method does, especially when the constants a, b, and c are large numbers. If this method fails to get answer, then consequently, the quadratic formula must be used to solve the given equation. It is a trial-and-error method, same as the factoring method, that usually takes fewer than 3 trials to solve any quadratic equation. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)