x+y = 5 and 2x + 2y = 10 are two equations in two variables. Find five different solu- tions of x+y = 5, verify whether same solutions satisfy the equation 2x + 2y = 10 also. Observe both equations. Find the condition where two equations in two variables have all solutions in common.
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Five solutions of x + y = 5 are given below: (1,4), (2, 3), (3, 2), (4,1), (0, 5) The above solutions also satisfy the equation 2x + 2y = 10. ∴ x + y = 5 …[Dividing both sides by 2] ∴ If the two equations are the same, then the two equations in two variables have all solutions common.Read more on Sarthaks.com - https://www.sarthaks.com/847859/x-y-5-and-2x-2y-10-are-two-equations-in-two-variables-find-live-different-solutions-of-x-y-5
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five solution of x+y=5 are given below
(1,4) (2,3) (3,2) (4,1) (0,5)
The above solutions also satisfy the equation 2x + 2y = 10.
x + y = 5 …[Dividing both sides by 2]
∴ If the two equations are the same, then the two equations in two variables have all solutions common
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